lean2/tests/lean/elab1.lean.expected.out

  Set: pp::colors
  Set: pp::unicode
  Assumed: f
Failed to solve
 ⊢ (?M::1 ≈ λ x : ℕ, x) ⊕ (?M::1 ≈ nat_to_int) ⊕ (?M::1 ≈ nat_to_real)
    (line: 4: pos: 8) Coercion for
        10
    Failed to solve
     ⊢ Bool ≺ ℕ
        Substitution
         ⊢ Bool ≺ ?M::0
            (line: 4: pos: 6) Type of argument 3 must be convertible to the expected type in the application of
                f::explicit
            with arguments:
                ?M::0
                ?M::1 10
                ⊤
            Assignment
             ⊢ ℕ ≺ ?M::0
                Substitution
                 ⊢ (?M::5[inst:0 (10)]) 10 ≺ ?M::0
                    (line: 4: pos: 6) Type of argument 2 must be convertible to the expected type in the application of
                        f::explicit
                    with arguments:
                        ?M::0
                        ?M::1 10
                        ⊤
                    Assignment
                    x : ℕ ⊢ λ x : ℕ, ℕ ≈ ?M::5
                        Destruct/Decompose
                        x : ℕ ⊢ ℕ ≈ ?M::5 x
                            Destruct/Decompose
                             ⊢ ℕ → ℕ ≈ Π x : ?M::4, ?M::5 x
                                Substitution
                                 ⊢ ?M::3 ≈ Π x : ?M::4, ?M::5 x
                                     Function expected at
                                        ?M::1 10
                                    Assignment
                                     ⊢ ℕ → ℕ ≺ ?M::3
                                        Propagate type, ?M::1 : ?M::3
                                            Assignment
                                             ⊢ ?M::1 ≈ λ x : ℕ, x
                                                Assumption 0
    Failed to solve
     ⊢ Bool ≺ ℤ
        Substitution
         ⊢ Bool ≺ ?M::0
            (line: 4: pos: 6) Type of argument 3 must be convertible to the expected type in the application of
                f::explicit
            with arguments:
                ?M::0
                ?M::1 10
                ⊤
            Assignment
             ⊢ ℤ ≺ ?M::0
                Substitution
                 ⊢ (?M::5[inst:0 (10)]) 10 ≺ ?M::0
                    (line: 4: pos: 6) Type of argument 2 must be convertible to the expected type in the application of
                        f::explicit
                    with arguments:
                        ?M::0
                        ?M::1 10
                        ⊤
                    Assignment
                    _ : ℕ ⊢ λ x : ℕ, ℤ ≈ ?M::5
                        Destruct/Decompose
                        _ : ℕ ⊢ ℤ ≈ ?M::5 _
                            Destruct/Decompose
                             ⊢ ℕ → ℤ ≈ Π x : ?M::4, ?M::5 x
                                Substitution
                                 ⊢ ?M::3 ≈ Π x : ?M::4, ?M::5 x
                                     Function expected at
                                        ?M::1 10
                                    Assignment
                                     ⊢ ℕ → ℤ ≺ ?M::3
                                        Propagate type, ?M::1 : ?M::3
                                            Assignment
                                             ⊢ ?M::1 ≈ nat_to_int
                                                Assumption 1
    Failed to solve
     ⊢ Bool ≺ ℝ
        Substitution
         ⊢ Bool ≺ ?M::0
            (line: 4: pos: 6) Type of argument 3 must be convertible to the expected type in the application of
                f::explicit
            with arguments:
                ?M::0
                ?M::1 10
                ⊤
            Assignment
             ⊢ ℝ ≺ ?M::0
                Substitution
                 ⊢ (?M::5[inst:0 (10)]) 10 ≺ ?M::0
                    (line: 4: pos: 6) Type of argument 2 must be convertible to the expected type in the application of
                        f::explicit
                    with arguments:
                        ?M::0
                        ?M::1 10
                        ⊤
                    Assignment
                    _ : ℕ ⊢ λ x : ℕ, ℝ ≈ ?M::5
                        Destruct/Decompose
                        _ : ℕ ⊢ ℝ ≈ ?M::5 _
                            Destruct/Decompose
                             ⊢ ℕ → ℝ ≈ Π x : ?M::4, ?M::5 x
                                Substitution
                                 ⊢ ?M::3 ≈ Π x : ?M::4, ?M::5 x
                                     Function expected at
                                        ?M::1 10
                                    Assignment
                                     ⊢ ℕ → ℝ ≺ ?M::3
                                        Propagate type, ?M::1 : ?M::3
                                            Assignment
                                             ⊢ ?M::1 ≈ nat_to_real
                                                Assumption 2
  Assumed: g
Error (line: 7, pos: 8) unexpected metavariable occurrence
  Assumed: h
Failed to solve
x : ?M::0, A : Type ⊢ ?M::0[lift:0:2] ≺ A
    (line: 11: pos: 27) Type of argument 2 must be convertible to the expected type in the application of
        h
    with arguments:
        A
        x
  Assumed: my_eq
Failed to solve
A : Type, B : Type, a : ?M::0, b : ?M::1, C : Type ⊢ ?M::0[lift:0:3] ≺ C
    (line: 15: pos: 51) Type of argument 2 must be convertible to the expected type in the application of
        my_eq
    with arguments:
        C
        a
        b
  Assumed: a
  Assumed: b
  Assumed: H
Error (line: 20, pos: 28) unexpected metavariable occurrence
Failed to solve
 ⊢ b ≈ a
    Substitution
     ⊢ b ≈ ?M::3
        Destruct/Decompose
         ⊢ b == b ≺ ?M::3 == ?M::4
            (line: 22: pos: 22) Type of argument 6 must be convertible to the expected type in the application of
                Trans::explicit
            with arguments:
                ?M::1
                ?M::2
                ?M::3
                ?M::4
                Refl a
                Refl b
        Assignment
         ⊢ a ≈ ?M::3
            Destruct/Decompose
             ⊢ a == a ≺ ?M::2 == ?M::3
                (line: 22: pos: 22) Type of argument 5 must be convertible to the expected type in the application of
                    Trans::explicit
                with arguments:
                    ?M::1
                    ?M::2
                    ?M::3
                    ?M::4
                    Refl a
                    Refl b
Failed to solve
 ⊢ (?M::0 ≈ Type) ⊕ (?M::0 ≈ Type 1) ⊕ (?M::0 ≈ Type 2) ⊕ (?M::0 ≈ Type M) ⊕ (?M::0 ≈ Type U)
    Destruct/Decompose
     ⊢ Type ≺ ?M::0
        (line: 24: pos: 6) Type of argument 3 must be convertible to the expected type in the application of
            f::explicit
        with arguments:
            ?M::0
            Bool
            Bool
    Failed to solve
     ⊢ (?M::1 ≈ Type 1) ⊕ (?M::1 ≈ Type 2) ⊕ (?M::1 ≈ Type 3) ⊕ (?M::1 ≈ Type M) ⊕ (?M::1 ≈ Type U)
        Destruct/Decompose
         ⊢ Type 1 ≺ ?M::1
            Propagate type, ?M::0 : ?M::1
                Assignment
                 ⊢ ?M::0 ≈ Type
                    Assumption 0
        Failed to solve
         ⊢ Type 1 ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type 1
                    Assumption 1
        Failed to solve
         ⊢ Type 2 ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type 2
                    Assumption 2
        Failed to solve
         ⊢ Type 3 ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type 3
                    Assumption 3
        Failed to solve
         ⊢ Type M ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type M
                    Assumption 4
        Failed to solve
         ⊢ Type U ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type U
                    Assumption 5
    Failed to solve
     ⊢ (?M::1 ≈ Type 2) ⊕ (?M::1 ≈ Type 3) ⊕ (?M::1 ≈ Type 4) ⊕ (?M::1 ≈ Type M) ⊕ (?M::1 ≈ Type U)
        Destruct/Decompose
         ⊢ Type 2 ≺ ?M::1
            Propagate type, ?M::0 : ?M::1
                Assignment
                 ⊢ ?M::0 ≈ Type 1
                    Assumption 6
        Failed to solve
         ⊢ Type 2 ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type 2
                    Assumption 7
        Failed to solve
         ⊢ Type 3 ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type 3
                    Assumption 8
        Failed to solve
         ⊢ Type 4 ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type 4
                    Assumption 9
        Failed to solve
         ⊢ Type M ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type M
                    Assumption 10
        Failed to solve
         ⊢ Type U ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type U
                    Assumption 11
    Failed to solve
     ⊢ (?M::1 ≈ Type 3) ⊕ (?M::1 ≈ Type 4) ⊕ (?M::1 ≈ Type 5) ⊕ (?M::1 ≈ Type M) ⊕ (?M::1 ≈ Type U)
        Destruct/Decompose
         ⊢ Type 3 ≺ ?M::1
            Propagate type, ?M::0 : ?M::1
                Assignment
                 ⊢ ?M::0 ≈ Type 2
                    Assumption 12
        Failed to solve
         ⊢ Type 3 ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type 3
                    Assumption 13
        Failed to solve
         ⊢ Type 4 ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type 4
                    Assumption 14
        Failed to solve
         ⊢ Type 5 ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type 5
                    Assumption 15
        Failed to solve
         ⊢ Type M ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type M
                    Assumption 16
        Failed to solve
         ⊢ Type U ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type U
                    Assumption 17
    Failed to solve
     ⊢
    (?M::1 ≈ Type M+1) ⊕ (?M::1 ≈ Type M+2) ⊕ (?M::1 ≈ Type M+3) ⊕ (?M::1 ≈ Type M) ⊕ (?M::1 ≈ Type U)
        Destruct/Decompose
         ⊢ Type M+1 ≺ ?M::1
            Propagate type, ?M::0 : ?M::1
                Assignment
                 ⊢ ?M::0 ≈ Type M
                    Assumption 18
        Failed to solve
         ⊢ Type M+1 ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type M+1
                    Assumption 19
        Failed to solve
         ⊢ Type M+2 ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type M+2
                    Assumption 20
        Failed to solve
         ⊢ Type M+3 ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type M+3
                    Assumption 21
        Failed to solve
         ⊢ Type M ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type M
                    Assumption 22
        Failed to solve
         ⊢ Type U ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type U
                    Assumption 23
    Failed to solve
     ⊢
    (?M::1 ≈ Type U+1) ⊕ (?M::1 ≈ Type U+2) ⊕ (?M::1 ≈ Type U+3) ⊕ (?M::1 ≈ Type M) ⊕ (?M::1 ≈ Type U)
        Destruct/Decompose
         ⊢ Type U+1 ≺ ?M::1
            Propagate type, ?M::0 : ?M::1
                Assignment
                 ⊢ ?M::0 ≈ Type U
                    Assumption 24
        Failed to solve
         ⊢ Type U+1 ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type U+1
                    Assumption 25
        Failed to solve
         ⊢ Type U+2 ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type U+2
                    Assumption 26
        Failed to solve
         ⊢ Type U+3 ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type U+3
                    Assumption 27
        Failed to solve
         ⊢ Type M ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type M
                    Assumption 28
        Failed to solve
         ⊢ Type U ≺ Type
            Substitution
             ⊢ ?M::1 ≺ Type
                (line: 24: pos: 6) Type of argument 1 must be convertible to the expected type in the application of
                    f::explicit
                with arguments:
                    ?M::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M::1 ≈ Type U
                    Assumption 29
Failed to solve
a : Bool, b : Bool, H : ?M::2, H_na : ?M::7 ⊢ a ≺ if (if a b ⊤) a ⊤
    Substitution
    a : Bool, b : Bool, H : ?M::2, H_na : ?M::7 ⊢ a ≺ ?M::5[lift:0:1]
        Substitution
        a : Bool, b : Bool, H : ?M::2, H_na : ?M::7 ⊢ ?M::8 ≺ ?M::5[lift:0:1]
            Destruct/Decompose
            a : Bool, b : Bool, H : ?M::2 ⊢ Π H_na : ?M::7, ?M::8 ≺ Π _ : ?M::4, ?M::5[lift:0:1]
                (line: 27: pos: 21) Type of argument 6 must be convertible to the expected type in the application of
                    DisjCases::explicit
                with arguments:
                    ?M::3
                    ?M::4
                    ?M::5
                    EM a
                    λ H_a : ?M::6, H
                    λ H_na : ?M::7, NotImp1 (MT H H_na)
            Assignment
            a : Bool, b : Bool, H : ?M::2, H_na : ?M::7 ⊢ a ≈ ?M::8
                Destruct/Decompose
                a : Bool, b : Bool, H : ?M::2, H_na : ?M::7 ⊢ if a b ⊤ ≈ if ?M::8 ?M::9 ⊤
                    Normalize
                    a : Bool, b : Bool, H : ?M::2, H_na : ?M::7 ⊢ if a b ⊤ ≈ ?M::8 ⇒ ?M::9
                        Substitution
                        a : Bool, b : Bool, H : ?M::2, H_na : ?M::7 ⊢ if a b ⊤ ≈ ?M::10
                            Destruct/Decompose
                            a : Bool,
                            b : Bool,
                            H : ?M::2,
                            H_na : ?M::7 ⊢
                            if (if a b ⊤) a ⊤ ≺ if ?M::10 ?M::11 ⊤
                                Normalize
                                a : Bool, b : Bool, H : ?M::2, H_na : ?M::7 ⊢ (a ⇒ b) ⇒ a ≺ if ?M::10 ?M::11 ⊤
                                    Substitution
                                    a : Bool,
                                    b : Bool,
                                    H : ?M::2,
                                    H_na : ?M::7 ⊢
                                    ?M::2[lift:0:2] ≺ if ?M::10 ?M::11 ⊤
                                        Normalize
                                        a : Bool,
                                        b : Bool,
                                        H : ?M::2,
                                        H_na : ?M::7 ⊢
                                        ?M::2[lift:0:2] ≺ ?M::10 ⇒ ?M::11
                                            (line: 29: pos: 48) Type of argument 3 must be convertible to the expected type in the application of
                                                MT::explicit
                                            with arguments:
                                                ?M::10
                                                ?M::11
                                                H
                                                H_na
                                         Normalize assignment
                                            ?M::0
                                            Assignment
                                            a : Bool, b : Bool ⊢ ?M::2 ≈ ?M::0
                                                Destruct/Decompose
                                                a : Bool,
                                                b : Bool ⊢
                                                Π H : ?M::2, ?M::5 ≺ Π _ : ?M::0, ?M::1[lift:0:1]
                                                    (line: 27: pos: 4) Type of argument 3 must be convertible to the expected type in the application of
                                                        Discharge::explicit
                                                    with arguments:
                                                        ?M::0
                                                        ?M::1
                                                        λ H : ?M::2,
                                                          DisjCases
                                                              (EM a)
                                                              (λ H_a : ?M::6, H)
                                                              (λ H_na : ?M::7, NotImp1 (MT H H_na))
                                            Assignment
                                            a : Bool, b : Bool ⊢ ?M::0 ≈ (a ⇒ b) ⇒ a
                                                Destruct/Decompose
                                                a : Bool, b : Bool ⊢ ?M::0 ⇒ ?M::1 ≺ ((a ⇒ b) ⇒ a) ⇒ a
                                                    Destruct/Decompose
                                                    a : Bool ⊢
                                                    Π b : Bool, ?M::0 ⇒ ?M::1 ≺
                                                    Π b : Bool, ((a ⇒ b) ⇒ a) ⇒ a
                                                        Destruct/Decompose
                                                         ⊢
                                                        Π a b : Bool, ?M::0 ⇒ ?M::1 ≺
                                                        Π a b : Bool, ((a ⇒ b) ⇒ a) ⇒ a
                                                            (line: 26: pos: 16) Type of definition 'pierce' must be convertible to expected type.
                            Assignment
                            a : Bool, b : Bool, H : ?M::2, H_na : ?M::7 ⊢ ?M::10 ≈ ?M::8 ⇒ ?M::9
                                Destruct/Decompose
                                a : Bool, b : Bool, H : ?M::2, H_na : ?M::7 ⊢ ¬ ?M::10 ≺ ¬ (?M::8 ⇒ ?M::9)
                                    (line: 29: pos: 40) Type of argument 3 must be convertible to the expected type in the application of
                                        NotImp1::explicit
                                    with arguments:
                                        ?M::8
                                        ?M::9
                                        MT H H_na
        Assignment
        a : Bool, b : Bool, H : ?M::2 ⊢ if (if a b ⊤) a ⊤ ≺ ?M::5
            Normalize
            a : Bool, b : Bool, H : ?M::2 ⊢ (a ⇒ b) ⇒ a ≺ ?M::5
                Normalize
                a : Bool, b : Bool, H : ?M::2, H_a : ?M::6 ⊢ (a ⇒ b) ⇒ a ≺ ?M::5[lift:0:1]
                    Substitution
                    a : Bool, b : Bool, H : ?M::2, H_a : ?M::6 ⊢ ?M::2[lift:0:2] ≺ ?M::5[lift:0:1]
                        Destruct/Decompose
                        a : Bool,
                        b : Bool,
                        H : ?M::2 ⊢
                        Π H_a : ?M::6, ?M::2[lift:0:2] ≺ Π _ : ?M::3, ?M::5[lift:0:1]
                            (line: 27: pos: 21) Type of argument 5 must be convertible to the expected type in the application of
                                DisjCases::explicit
                            with arguments:
                                ?M::3
                                ?M::4
                                ?M::5
                                EM a
                                λ H_a : ?M::6, H
                                λ H_na : ?M::7, NotImp1 (MT H H_na)
                         Normalize assignment
                            ?M::0
                            Assignment
                            a : Bool, b : Bool ⊢ ?M::2 ≈ ?M::0
                                Destruct/Decompose
                                a : Bool, b : Bool ⊢ Π H : ?M::2, ?M::5 ≺ Π _ : ?M::0, ?M::1[lift:0:1]
                                    (line: 27: pos: 4) Type of argument 3 must be convertible to the expected type in the application of
                                        Discharge::explicit
                                    with arguments:
                                        ?M::0
                                        ?M::1
                                        λ H : ?M::2,
                                          DisjCases (EM a) (λ H_a : ?M::6, H) (λ H_na : ?M::7, NotImp1 (MT H H_na))
                            Assignment
                            a : Bool, b : Bool ⊢ ?M::0 ≈ (a ⇒ b) ⇒ a
                                Destruct/Decompose
                                a : Bool, b : Bool ⊢ ?M::0 ⇒ ?M::1 ≺ ((a ⇒ b) ⇒ a) ⇒ a
                                    Destruct/Decompose
                                    a : Bool ⊢ Π b : Bool, ?M::0 ⇒ ?M::1 ≺ Π b : Bool, ((a ⇒ b) ⇒ a) ⇒ a
                                        Destruct/Decompose
                                         ⊢ Π a b : Bool, ?M::0 ⇒ ?M::1 ≺ Π a b : Bool, ((a ⇒ b) ⇒ a) ⇒ a
                                            (line: 26: pos: 16) Type of definition 'pierce' must be convertible to expected type.