dbefc91151
We need that when we normalize the assignment in a metavariable environment. That is, we replace metavariable in a substitution with other assignments. Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
121 lines
5.5 KiB
Text
121 lines
5.5 KiB
Text
Set: pp::colors
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Set: pp::unicode
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Failed to solve
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⊢ (?M3::0 ≈ Nat::add) ⊕ (?M3::0 ≈ Int::add) ⊕ (?M3::0 ≈ Real::add)
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(line: 1: pos: 10) Overloading at
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(Real::add | Int::add | Nat::add) 1 ⊤
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Failed to solve
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⊢ Bool ≺ ℕ
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Substitution
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⊢ Bool ≺ ?M3::8
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(line: 1: pos: 10) Type of argument 2 must be convertible to the expected type in the application of
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?M3::0
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with arguments:
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?M3::1 1
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⊤
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Assignment
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⊢ ℕ ≈ ?M3::8
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Destruct/Decompose
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⊢ ℕ → ℕ ≈ Π x : ?M3::8, ?M3::9 x
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Substitution
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⊢ (?M3::7[inst:0 (?M3::1 1)]) (?M3::1 1) ≈ Π x : ?M3::8, ?M3::9 x
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(line: 1: pos: 10) Function expected at
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?M3::0 (?M3::1 1) ⊤
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Assignment
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_ : ℕ ⊢ λ x : ℕ, ℕ → ℕ ≈ ?M3::7
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Destruct/Decompose
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_ : ℕ ⊢ ℕ → ℕ ≈ ?M3::7 _
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Destruct/Decompose
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⊢ ℕ → ℕ → ℕ ≈ Π x : ?M3::6, ?M3::7 x
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Substitution
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⊢ ?M3::2 ≈ Π x : ?M3::6, ?M3::7 x
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(line: 1: pos: 10) Function expected at
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?M3::0 (?M3::1 1) ⊤
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Assignment
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⊢ ℕ → ℕ → ℕ ≺ ?M3::2
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Propagate type, ?M3::0 : ?M3::2
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Assignment
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⊢ ?M3::0 ≈ Nat::add
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Assumption 0
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Failed to solve
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⊢ Bool ≺ ℤ
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Substitution
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⊢ Bool ≺ ?M3::8
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(line: 1: pos: 10) Type of argument 2 must be convertible to the expected type in the application of
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?M3::0
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with arguments:
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?M3::1 1
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⊤
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Assignment
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⊢ ℤ ≈ ?M3::8
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Destruct/Decompose
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⊢ ℤ → ℤ ≈ Π x : ?M3::8, ?M3::9 x
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Substitution
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⊢ (?M3::7[inst:0 (?M3::1 1)]) (?M3::1 1) ≈ Π x : ?M3::8, ?M3::9 x
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(line: 1: pos: 10) Function expected at
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?M3::0 (?M3::1 1) ⊤
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Assignment
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_ : ℤ ⊢ λ x : ℤ, ℤ → ℤ ≈ ?M3::7
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Destruct/Decompose
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_ : ℤ ⊢ ℤ → ℤ ≈ ?M3::7 _
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Destruct/Decompose
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⊢ ℤ → ℤ → ℤ ≈ Π x : ?M3::6, ?M3::7 x
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Substitution
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⊢ ?M3::2 ≈ Π x : ?M3::6, ?M3::7 x
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(line: 1: pos: 10) Function expected at
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?M3::0 (?M3::1 1) ⊤
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Assignment
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⊢ ℤ → ℤ → ℤ ≺ ?M3::2
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Propagate type, ?M3::0 : ?M3::2
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Assignment
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⊢ ?M3::0 ≈ Int::add
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Assumption 2
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Failed to solve
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⊢ Bool ≺ ℝ
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Substitution
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⊢ Bool ≺ ?M3::8
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(line: 1: pos: 10) Type of argument 2 must be convertible to the expected type in the application of
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?M3::0
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with arguments:
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?M3::1 1
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⊤
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Assignment
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⊢ ℝ ≈ ?M3::8
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Destruct/Decompose
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⊢ ℝ → ℝ ≈ Π x : ?M3::8, ?M3::9 x
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Substitution
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⊢ (?M3::7[inst:0 (?M3::1 1)]) (?M3::1 1) ≈ Π x : ?M3::8, ?M3::9 x
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(line: 1: pos: 10) Function expected at
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?M3::0 (?M3::1 1) ⊤
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Assignment
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_ : ℝ ⊢ λ x : ℝ, ℝ → ℝ ≈ ?M3::7
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Destruct/Decompose
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_ : ℝ ⊢ ℝ → ℝ ≈ ?M3::7 _
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Destruct/Decompose
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⊢ ℝ → ℝ → ℝ ≈ Π x : ?M3::6, ?M3::7 x
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Substitution
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⊢ ?M3::2 ≈ Π x : ?M3::6, ?M3::7 x
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(line: 1: pos: 10) Function expected at
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?M3::0 (?M3::1 1) ⊤
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Assignment
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⊢ ℝ → ℝ → ℝ ≺ ?M3::2
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Propagate type, ?M3::0 : ?M3::2
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Assignment
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⊢ ?M3::0 ≈ Real::add
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Assumption 5
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Assumed: R
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Assumed: T
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Assumed: r2t
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Coercion r2t
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Assumed: t2r
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Coercion t2r
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Assumed: f
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Assumed: a
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Assumed: b
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Set: lean::pp::coercion
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Set: lean::pp::notation
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f a b
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f (r2t b) (t2r a)
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Assumed: g
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f a b
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f (r2t b) (t2r a)
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