2013-12-16 17:38:57 +00:00
|
|
|
|
Set: pp::colors
|
|
|
|
|
Set: pp::unicode
|
2013-12-30 21:35:37 +00:00
|
|
|
|
Imported 'int'
|
2013-12-16 17:38:57 +00:00
|
|
|
|
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 : ℤ, P (f y x) (f y x) := ExistsIntro (g a) (ExistsIntro a H1)
|
|
|
|
|
Theorem T2 : ∃ x : ℤ, P (f x (g x)) (f x (g x)) := ExistsIntro a H1
|
|
|
|
|
Theorem T3 : ∃ x : ℤ, P (f x x) (f x x) := ExistsIntro (g a) H2
|
|
|
|
|
Theorem T4 : ∃ x : ℤ, P (f (g a) x) (f x x) := ExistsIntro (g a) H2
|
|
|
|
|
Theorem T5 : ∃ x : ℤ, P x x := ExistsIntro (f (g a) (g a)) H2
|
|
|
|
|
Theorem T6 : ∃ x y : ℤ, P x y := ExistsIntro (f (g a) (g a)) (ExistsIntro (g a) H3)
|
|
|
|
|
Theorem T7 : ∃ x : ℤ, P (f x x) x := ExistsIntro (g a) H3
|
|
|
|
|
Theorem T8 : ∃ x y : ℤ, P (f x x) y := ExistsIntro (g a) (ExistsIntro (g a) H3)
|