2014-01-23 20:54:25 +00:00
|
|
|
|
Set: pp::colors
|
|
|
|
|
Set: pp::unicode
|
|
|
|
|
Assumed: a
|
|
|
|
|
Assumed: b
|
|
|
|
|
Assumed: c
|
|
|
|
|
a = 1 ∧ (¬ b = 0 ∨ c ≠ 0)
|
|
|
|
|
and_congr
|
|
|
|
|
(refl (a = 1))
|
2014-01-26 00:54:42 +00:00
|
|
|
|
(λ C::7 : a = 1,
|
2014-01-23 20:54:25 +00:00
|
|
|
|
or_congr (refl (¬ b = 0))
|
2014-01-26 00:54:42 +00:00
|
|
|
|
(λ C::4 : ¬ ¬ b = 0,
|
2014-01-23 20:54:25 +00:00
|
|
|
|
trans (or_congr (refl (c ≠ 0))
|
|
|
|
|
(λ C::3 : ¬ c ≠ 0,
|
|
|
|
|
congr (congr2 Nat::gt
|
2014-01-26 00:54:42 +00:00
|
|
|
|
(congr (congr2 Nat::add (not_not_elim C::4)) (not_neq_elim C::3)))
|
|
|
|
|
C::7))
|
2014-01-23 20:54:25 +00:00
|
|
|
|
(or_falsel (c ≠ 0))))
|
|
|
|
|
a = 1 ∧ (¬ b = 0 ∨ c ≠ 0 ∨ b + c > a) ↔ a = 1 ∧ (¬ b = 0 ∨ c ≠ 0)
|