lean2/tests/lean/run/elim.lean

import logic

variable p : num → num → num → Prop
axiom H1 : ∃ x y z, p x y z
axiom H2 : ∀ {x y z : num}, p x y z → p x x x
theorem tst : ∃ x, p x x x
:= obtain a b c H, from H1, exists_intro a (H2 H)
chore(*): minimize dependencies on tests Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-08-25 02:58:48 +00:00			`import logic`
feat(frontends/lean/inductive_cmd): prefix introduction rules with the name of the inductive datatype Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-09-04 23:36:06 +00:00
refactor(*): rename Bool to Prop Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-22 16:43:18 +00:00			`variable p : num → num → num → Prop`
feat(frontends/lean): add 'obtains' expression Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-11 03:08:51 +00:00			`axiom H1 : ∃ x y z, p x y z`
			`axiom H2 : ∀ {x y z : num}, p x y z → p x x x`
			`theorem tst : ∃ x, p x x x`
chore(frontends/lean): rename 'obtains' to 'obtain' Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-12 05:35:24 +00:00			`:= obtain a b c H, from H1, exists_intro a (H2 H)`