lean2/tests/lean/550.lean.expected.out
2015-05-05 19:23:41 -07:00

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