lean2/tests/lean/exists2.lean.expected.out
Leonardo de Moura 57c0006916 chore(*): cleanup lean builtin symbols, replace :: with _
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-09 08:33:52 -08:00

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Set: pp::colors
Set: pp::unicode
Imported 'Int'
Assumed: a
Assumed: P
Assumed: f
Assumed: g
Assumed: H1
Assumed: H2
Assumed: H3
Proved: T1
Proved: T2
Proved: T3
Proved: T4
Proved: T5
Proved: T6
Proved: T7
Proved: T8
theorem T1 : ∃ x y : , P (f y x) (f y x) := exists_intro (g a) (exists_intro a H1)
theorem T2 : ∃ x : , P (f x (g x)) (f x (g x)) := exists_intro a H1
theorem T3 : ∃ x : , P (f x x) (f x x) := exists_intro (g a) H2
theorem T4 : ∃ x : , P (f (g a) x) (f x x) := exists_intro (g a) H2
theorem T5 : ∃ x : , P x x := exists_intro (f (g a) (g a)) H2
theorem T6 : ∃ x y : , P x y := exists_intro (f (g a) (g a)) (exists_intro (g a) H3)
theorem T7 : ∃ x : , P (f x x) x := exists_intro (g a) H3
theorem T8 : ∃ x y : , P (f x x) y := exists_intro (g a) (exists_intro (g a) H3)