lean2/tests/lean/550.lean.expected.out

550.lean:43:72: error:invalid 'rewrite' tactic, step produced type incorrect term, details: type mismatch at application
  eq.symm linv
term
  linv
has type
  finv ∘ func = function.id
but is expected to have type
  x = function.id
rewrite step failed using pattern
  finv_1 ∘ func_1
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:43:47: 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:43:2: 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)