lean2/tests/lean/tst4.lean.expected.out
Leonardo de Moura 4c67721d32 Fix test error on Cygwin
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-09-09 18:35:11 -07:00

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Set: pp::colors
Set: pp::unicode
Assumed: f
Assumed: N
Assumed: n1
Assumed: n2
Set: lean::pp::implicit
f::explicit N n1 n2
f::explicit ((N → N) → N → N) (λ x : N → N, x) (λ y : N → N, y)
Assumed: EqNice
EqNice::explicit N n1 n2
f::explicit N n1 n2 : N
Congr::explicit :
Π (A : Type U) (B : A → Type U) (f g : Π x : A, B x) (a b : A), (f = g) → (a = b) → ((f a) = (g b))
f::explicit N n1 n2
Assumed: a
Assumed: b
Assumed: c
Assumed: g
Assumed: H1
Proved: Pr
Axiom H1 : a = b ∧ b = c
Theorem Pr : (g a) = (g c) :=
let κ::1 := Trans::explicit
N
a
b
c
(Conjunct1::explicit (a = b) (b = c) H1)
(Conjunct2::explicit (a = b) (b = c) H1)
in Congr::explicit N (λ x : N, N) g g a c (Refl::explicit (N → N) g) κ::1