40 lines
1.6 KiB
Text
40 lines
1.6 KiB
Text
550.lean:44:72: error:invalid 'rewrite' tactic, step produced type incorrect term, details: type mismatch at application
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eq.rec (eq.rec (eq.refl function.id) (eq.symm linv))
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term
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eq.rec (eq.refl function.id) (eq.symm linv)
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has type
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x = function.id
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but is expected to have type
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finv ∘ func = function.id
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rewrite step failed using pattern
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finv ∘ func
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proof state:
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A : Type,
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f : bijection A,
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func finv : A → A,
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linv : finv ∘ func = function.id,
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rinv : func ∘ finv = function.id
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⊢ mk (finv ∘ func) (finv ∘ func)
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(eq.rec
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(eq.rec
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(eq.rec (eq.rec (eq.rec (eq.refl function.id) (eq.symm linv)) (eq.symm (compose.left_id func)))
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(eq.symm rinv))
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(function.compose.assoc func finv func))
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(eq.symm (function.compose.assoc finv func (finv ∘ func))))
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(eq.rec
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(eq.rec
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(eq.rec (eq.rec (eq.rec (eq.refl function.id) (eq.symm linv)) (eq.symm (compose.right_id finv)))
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(eq.symm rinv))
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(eq.symm (function.compose.assoc finv func finv)))
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(function.compose.assoc (finv ∘ func) finv func)) = id
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550.lean:44:47: error: don't know how to synthesize placeholder
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A : Type,
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f : bijection A,
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func finv : A → A,
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linv : finv ∘ func = function.id,
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rinv : func ∘ finv = function.id
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⊢ inv (mk func finv linv rinv) ∘b mk func finv linv rinv = id
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550.lean:44:2: error: failed to add declaration 'bijection.inv.linv' to environment, value has metavariables
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remark: set 'formatter.hide_full_terms' to false to see the complete term
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λ (A : Type) (f : …),
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bijection.rec_on f (λ (func finv : …) (linv : …) (rinv : …), ?M_1)
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