lean2/tests/lean/elab5.lean.expected.out
Leonardo de Moura d3d24696f4 feat(frontends/lean): hide builtin object in the 'Show Environment' command
The user can still display builtin objects by using

    Show Environment all

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-12-19 14:00:58 -08:00

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Set: pp::colors
Set: pp::unicode
Assumed: C
Assumed: D
Assumed: R
Proved: R2
Set: lean::pp::implicit
Variable C {A B : Type} (H : eq::explicit Type A B) (a : A) : B
Variable D {A A' : Type} {B : A → Type} {B' : A' → Type} (H : eq::explicit Type (Π x : A, B x) (Π x : A', B' x)) :
eq::explicit Type A A'
Variable R {A A' : Type}
{B : A → Type}
{B' : A' → Type}
(H : eq::explicit Type (Π x : A, B x) (Π x : A', B' x))
(a : A) :
eq::explicit Type (B a) (B' (C::explicit A A' (D::explicit A A' (λ x : A, B x) (λ x : A', B' x) H) a))
Theorem R2 (A1 A2 B1 B2 : Type) (H : eq::explicit Type (A1 → B1) (A2 → B2)) (a : A1) : eq::explicit Type B1 B2 :=
R::explicit A1 A2 (λ x : A1, B1) (λ x : A2, B2) H a