lean2/tests/lean/tst4.lean
Leonardo de Moura 4ba097a141 feat(frontends/lean): use lowercase commands, replace 'endscope' and 'endnamespace' with 'end'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 13:06:36 -08:00

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variable f {A : Type} (a b : A) : A
variable N : Type
variable n1 : N
variable n2 : N
setoption lean::pp::implicit true
print f n1 n2
print f (fun x : N -> N, x) (fun y : _, y)
variable EqNice {A : Type} (lhs rhs : A) : Bool
infix 50 === : EqNice
print n1 === n2
check f n1 n2
check @Congr
print f n1 n2
variable a : N
variable b : N
variable c : N
variable g : N -> N
axiom H1 : a = b && b = c
theorem Pr : (g a) = (g c) :=
Congr (Refl g) (Trans (Conjunct1 H1) (Conjunct2 H1))
print environment 2