Set: pp::colors
  Set: pp::unicode
  Assumed: f
Failed to solve
 ⊢ (?M3::1 ≈ λ x : ℕ, x) ⊕ (?M3::1 ≈ nat_to_int) ⊕ (?M3::1 ≈ nat_to_real)
    (line: 4: pos: 8) Coercion for
        10
    Failed to solve
     ⊢ Bool ≺ ℕ
        Substitution
         ⊢ Bool ≺ ?M3::0
            (line: 4: pos: 6) Type of argument 3 must be convertible to the expected type in the application of
                f::explicit
            with arguments:
                ?M3::0
                ?M3::1 10
                ⊤
            Assignment
             ⊢ ℕ ≺ ?M3::0
                Substitution
                 ⊢ (?M3::5[inst:0 (10)]) 10 ≺ ?M3::0
                    (line: 4: pos: 6) Type of argument 2 must be convertible to the expected type in the application of
                        f::explicit
                    with arguments:
                        ?M3::0
                        ?M3::1 10
                        ⊤
                    Assignment
                    x : ℕ ⊢ λ x : ℕ, ℕ ≈ ?M3::5
                        Destruct/Decompose
                        x : ℕ ⊢ ℕ ≈ ?M3::5 x
                            Destruct/Decompose
                             ⊢ ℕ → ℕ ≈ Π x : ?M3::4, ?M3::5 x
                                Substitution
                                 ⊢ ?M3::3 ≈ Π x : ?M3::4, ?M3::5 x
                                     Function expected at
                                        ?M3::1 10
                                    Assignment
                                     ⊢ ℕ → ℕ ≺ ?M3::3
                                        Propagate type, ?M3::1 : ?M3::3
                                            Assignment
                                             ⊢ ?M3::1 ≈ λ x : ℕ, x
                                                assumption 0
    Failed to solve
     ⊢ Bool ≺ ℤ
        Substitution
         ⊢ Bool ≺ ?M3::0
            (line: 4: pos: 6) Type of argument 3 must be convertible to the expected type in the application of
                f::explicit
            with arguments:
                ?M3::0
                ?M3::1 10
                ⊤
            Assignment
             ⊢ ℤ ≺ ?M3::0
                Substitution
                 ⊢ (?M3::5[inst:0 (10)]) 10 ≺ ?M3::0
                    (line: 4: pos: 6) Type of argument 2 must be convertible to the expected type in the application of
                        f::explicit
                    with arguments:
                        ?M3::0
                        ?M3::1 10
                        ⊤
                    Assignment
                    _ : ℕ ⊢ λ x : ℕ, ℤ ≈ ?M3::5
                        Destruct/Decompose
                        _ : ℕ ⊢ ℤ ≈ ?M3::5 _
                            Destruct/Decompose
                             ⊢ ℕ → ℤ ≈ Π x : ?M3::4, ?M3::5 x
                                Substitution
                                 ⊢ ?M3::3 ≈ Π x : ?M3::4, ?M3::5 x
                                     Function expected at
                                        ?M3::1 10
                                    Assignment
                                     ⊢ ℕ → ℤ ≺ ?M3::3
                                        Propagate type, ?M3::1 : ?M3::3
                                            Assignment
                                             ⊢ ?M3::1 ≈ nat_to_int
                                                assumption 1
    Failed to solve
     ⊢ Bool ≺ ℝ
        Substitution
         ⊢ Bool ≺ ?M3::0
            (line: 4: pos: 6) Type of argument 3 must be convertible to the expected type in the application of
                f::explicit
            with arguments:
                ?M3::0
                ?M3::1 10
                ⊤
            Assignment
             ⊢ ℝ ≺ ?M3::0
                Substitution
                 ⊢ (?M3::5[inst:0 (10)]) 10 ≺ ?M3::0
                    (line: 4: pos: 6) Type of argument 2 must be convertible to the expected type in the application of
                        f::explicit
                    with arguments:
                        ?M3::0
                        ?M3::1 10
                        ⊤
                    Assignment
                    _ : ℕ ⊢ λ x : ℕ, ℝ ≈ ?M3::5
                        Destruct/Decompose
                        _ : ℕ ⊢ ℝ ≈ ?M3::5 _
                            Destruct/Decompose
                             ⊢ ℕ → ℝ ≈ Π x : ?M3::4, ?M3::5 x
                                Substitution
                                 ⊢ ?M3::3 ≈ Π x : ?M3::4, ?M3::5 x
                                     Function expected at
                                        ?M3::1 10
                                    Assignment
                                     ⊢ ℕ → ℝ ≺ ?M3::3
                                        Propagate type, ?M3::1 : ?M3::3
                                            Assignment
                                             ⊢ ?M3::1 ≈ nat_to_real
                                                assumption 2
  Assumed: g
Error (line: 7, pos: 8) unexpected metavariable occurrence
  Assumed: h
Failed to solve
x : ?M3::0, A : Type ⊢ ?M3::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: eq
Failed to solve
A : Type, B : Type, a : ?M3::0, b : ?M3::1, C : Type ⊢ ?M3::0[lift:0:3] ≺ C
    (line: 15: pos: 51) Type of argument 2 must be convertible to the expected type in the application of
        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
    Destruct/Decompose
     ⊢ b = b ≺ a = ?M3::3
        Normalize
         ⊢ b = b ≺ ?M3::2 = ?M3::3
            (line: 22: pos: 22) Type of argument 6 must be convertible to the expected type in the application of
                Trans::explicit
            with arguments:
                ?M3::0
                ?M3::1
                ?M3::2
                ?M3::3
                Refl a
                Refl b
Failed to solve
 ⊢ (?M3::0 ≈ Type) ⊕ (?M3::0 ≈ Type 1) ⊕ (?M3::0 ≈ Type 2) ⊕ (?M3::0 ≈ Type M) ⊕ (?M3::0 ≈ Type U)
    Destruct/Decompose
     ⊢ Type ≺ ?M3::0
        (line: 24: pos: 6) Type of argument 3 must be convertible to the expected type in the application of
            f::explicit
        with arguments:
            ?M3::0
            Bool
            Bool
    Failed to solve
     ⊢
    (?M3::1 ≈ Type 1) ⊕ (?M3::1 ≈ Type 2) ⊕ (?M3::1 ≈ Type 3) ⊕ (?M3::1 ≈ Type M) ⊕ (?M3::1 ≈ Type U)
        Destruct/Decompose
         ⊢ Type 1 ≺ ?M3::1
            Propagate type, ?M3::0 : ?M3::1
                Assignment
                 ⊢ ?M3::0 ≈ Type
                    assumption 0
        Failed to solve
         ⊢ Type 1 ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type 1
                    assumption 1
        Failed to solve
         ⊢ Type 2 ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type 2
                    assumption 2
        Failed to solve
         ⊢ Type 3 ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type 3
                    assumption 3
        Failed to solve
         ⊢ Type M ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type M
                    assumption 4
        Failed to solve
         ⊢ Type U ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type U
                    assumption 5
    Failed to solve
     ⊢
    (?M3::1 ≈ Type 2) ⊕ (?M3::1 ≈ Type 3) ⊕ (?M3::1 ≈ Type 4) ⊕ (?M3::1 ≈ Type M) ⊕ (?M3::1 ≈ Type U)
        Destruct/Decompose
         ⊢ Type 2 ≺ ?M3::1
            Propagate type, ?M3::0 : ?M3::1
                Assignment
                 ⊢ ?M3::0 ≈ Type 1
                    assumption 6
        Failed to solve
         ⊢ Type 2 ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type 2
                    assumption 7
        Failed to solve
         ⊢ Type 3 ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type 3
                    assumption 8
        Failed to solve
         ⊢ Type 4 ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type 4
                    assumption 9
        Failed to solve
         ⊢ Type M ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type M
                    assumption 10
        Failed to solve
         ⊢ Type U ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type U
                    assumption 11
    Failed to solve
     ⊢
    (?M3::1 ≈ Type 3) ⊕ (?M3::1 ≈ Type 4) ⊕ (?M3::1 ≈ Type 5) ⊕ (?M3::1 ≈ Type M) ⊕ (?M3::1 ≈ Type U)
        Destruct/Decompose
         ⊢ Type 3 ≺ ?M3::1
            Propagate type, ?M3::0 : ?M3::1
                Assignment
                 ⊢ ?M3::0 ≈ Type 2
                    assumption 12
        Failed to solve
         ⊢ Type 3 ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type 3
                    assumption 13
        Failed to solve
         ⊢ Type 4 ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type 4
                    assumption 14
        Failed to solve
         ⊢ Type 5 ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type 5
                    assumption 15
        Failed to solve
         ⊢ Type M ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type M
                    assumption 16
        Failed to solve
         ⊢ Type U ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type U
                    assumption 17
    Failed to solve
     ⊢
    (?M3::1 ≈ Type M+1) ⊕
    (?M3::1 ≈ Type M+2) ⊕
    (?M3::1 ≈ Type M+3) ⊕
    (?M3::1 ≈ Type M) ⊕
    (?M3::1 ≈ Type U)
        Destruct/Decompose
         ⊢ Type M+1 ≺ ?M3::1
            Propagate type, ?M3::0 : ?M3::1
                Assignment
                 ⊢ ?M3::0 ≈ Type M
                    assumption 18
        Failed to solve
         ⊢ Type M+1 ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type M+1
                    assumption 19
        Failed to solve
         ⊢ Type M+2 ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type M+2
                    assumption 20
        Failed to solve
         ⊢ Type M+3 ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type M+3
                    assumption 21
        Failed to solve
         ⊢ Type M ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type M
                    assumption 22
        Failed to solve
         ⊢ Type U ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type U
                    assumption 23
    Failed to solve
     ⊢
    (?M3::1 ≈ Type U+1) ⊕
    (?M3::1 ≈ Type U+2) ⊕
    (?M3::1 ≈ Type U+3) ⊕
    (?M3::1 ≈ Type M) ⊕
    (?M3::1 ≈ Type U)
        Destruct/Decompose
         ⊢ Type U+1 ≺ ?M3::1
            Propagate type, ?M3::0 : ?M3::1
                Assignment
                 ⊢ ?M3::0 ≈ Type U
                    assumption 24
        Failed to solve
         ⊢ Type U+1 ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type U+1
                    assumption 25
        Failed to solve
         ⊢ Type U+2 ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type U+2
                    assumption 26
        Failed to solve
         ⊢ Type U+3 ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type U+3
                    assumption 27
        Failed to solve
         ⊢ Type M ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type M
                    assumption 28
        Failed to solve
         ⊢ Type U ≺ Type
            Substitution
             ⊢ ?M3::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:
                    ?M3::0
                    Bool
                    Bool
                Assignment
                 ⊢ ?M3::1 ≈ Type U
                    assumption 29
Failed to solve
a : Bool, b : Bool, H : ?M3::2, H_na : ?M3::7 ⊢ a ≺ if Bool (if Bool a b ⊤) a ⊤
    Substitution
    a : Bool, b : Bool, H : ?M3::2, H_na : ?M3::7 ⊢ a ≺ ?M3::5[lift:0:1]
        Substitution
        a : Bool, b : Bool, H : ?M3::2, H_na : ?M3::7 ⊢ ?M3::8 ≺ ?M3::5[lift:0:1]
            Destruct/Decompose
            a : Bool, b : Bool, H : ?M3::2 ⊢ Π H_na : ?M3::7, ?M3::8 ≺ Π _ : ?M3::4, ?M3::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:
                    ?M3::3
                    ?M3::4
                    ?M3::5
                    EM a
                    λ H_a : ?M3::6, H
                    λ H_na : ?M3::7, NotImp1 (MT H H_na)
            Assignment
            a : Bool, b : Bool, H : ?M3::2, H_na : ?M3::7 ⊢ a ≈ ?M3::8
                Destruct/Decompose
                a : Bool, b : Bool, H : ?M3::2, H_na : ?M3::7 ⊢ if Bool a b ⊤ ≈ if Bool ?M3::8 ?M3::9 ⊤
                    Destruct/Decompose
                    a : Bool,
                    b : Bool,
                    H : ?M3::2,
                    H_na : ?M3::7 ⊢
                    if Bool (if Bool a b ⊤) a ⊤ ≺ if Bool (if Bool ?M3::8 ?M3::9 ⊤) ?M3::11 ⊤
                        Normalize
                        a : Bool,
                        b : Bool,
                        H : ?M3::2,
                        H_na : ?M3::7 ⊢
                        (a ⇒ b) ⇒ a ≺ if Bool ?M3::10 ?M3::11 ⊤
                            Substitution
                            a : Bool,
                            b : Bool,
                            H : ?M3::2,
                            H_na : ?M3::7 ⊢
                            ?M3::2[lift:0:2] ≺ if Bool ?M3::10 ?M3::11 ⊤
                                Normalize
                                a : Bool,
                                b : Bool,
                                H : ?M3::2,
                                H_na : ?M3::7 ⊢
                                ?M3::2[lift:0:2] ≺ ?M3::10 ⇒ ?M3::11
                                    (line: 29: pos: 48) Type of argument 3 must be convertible to the expected type in the application of
                                        MT::explicit
                                    with arguments:
                                        ?M3::10
                                        ?M3::11
                                        H
                                        H_na
                                Assignment
                                a : Bool, b : Bool ⊢ ?M3::2 ≈ ?M3::0
                                    Destruct/Decompose
                                    a : Bool, b : Bool ⊢ Π H : ?M3::2, ?M3::5 ≺ Π _ : ?M3::0, ?M3::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:
                                            ?M3::0
                                            ?M3::1
                                            λ H : ?M3::2,
                                              DisjCases
                                                  (EM a)
                                                  (λ H_a : ?M3::6, H)
                                                  (λ H_na : ?M3::7, NotImp1 (MT H H_na))
        Assignment
        a : Bool, b : Bool, H : ?M3::2 ⊢ if Bool (if Bool a b ⊤) a ⊤ ≺ ?M3::5
            Normalize
            a : Bool, b : Bool, H : ?M3::2 ⊢ (a ⇒ b) ⇒ a ≺ ?M3::5
                Normalize
                a : Bool, b : Bool, H : ?M3::2, H_a : ?M3::6 ⊢ (a ⇒ b) ⇒ a ≺ ?M3::5[lift:0:1]
                    Substitution
                    a : Bool, b : Bool, H : ?M3::2, H_a : ?M3::6 ⊢ ?M3::2[lift:0:2] ≺ ?M3::5[lift:0:1]
                        Destruct/Decompose
                        a : Bool,
                        b : Bool,
                        H : ?M3::2 ⊢
                        Π H_a : ?M3::6, ?M3::2[lift:0:2] ≺ Π _ : ?M3::3, ?M3::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:
                                ?M3::3
                                ?M3::4
                                ?M3::5
                                EM a
                                λ H_a : ?M3::6, H
                                λ H_na : ?M3::7, NotImp1 (MT H H_na)
                        Assignment
                        a : Bool, b : Bool ⊢ ?M3::2 ≈ ?M3::0
                            Destruct/Decompose
                            a : Bool, b : Bool ⊢ Π H : ?M3::2, ?M3::5 ≺ Π _ : ?M3::0, ?M3::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:
                                    ?M3::0
                                    ?M3::1
                                    λ H : ?M3::2,
                                      DisjCases (EM a) (λ H_a : ?M3::6, H) (λ H_na : ?M3::7, NotImp1 (MT H H_na))