2013-09-02 19:29:21 +00:00
|
|
|
|
Set: pp::colors
|
2013-09-01 02:15:48 +00:00
|
|
|
|
Assumed: f
|
2013-09-01 17:34:57 +00:00
|
|
|
|
∀ a b : Type, (f a) = (f b)
|
2013-09-01 02:15:48 +00:00
|
|
|
|
Assumed: g
|
2013-09-01 17:34:57 +00:00
|
|
|
|
∀ (a b : Type) (c : Bool), g c ((f a) = (f b))
|
|
|
|
|
∃ (a b : Type) (c : Bool), g c ((f a) = (f b))
|
|
|
|
|
∀ (a b : Type) (c : Bool), (g c (f a)) = (f b) ⇒ (f a)
|
2013-09-01 02:15:48 +00:00
|
|
|
|
Bool
|
2013-09-01 17:34:57 +00:00
|
|
|
|
∀ (a b : Type) (c : Bool), g c ((f a) = (f b))
|
|
|
|
|
∀ a b : Type, (f a) = (f b)
|
|
|
|
|
∃ a b : Type, (f a) = (f b) ∧ (f a)
|
|
|
|
|
∃ a b : Type, (f a) = (f b) ∨ (f b)
|
2013-09-01 02:15:48 +00:00
|
|
|
|
Assumed: a
|
|
|
|
|
(f a) ∨ (f a)
|
|
|
|
|
(f a) = a ∨ (f a)
|
|
|
|
|
(f a) = a ∧ (f a)
|