lean2/tests/lean/run/elim.lean

import logic

constant 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> 2014-08-24 19:58:48 -07:00			`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 16:36:06 -07:00
refactor(frontends/lean): constant/axiom are top-level commands, parameter/variable/hypothesis/conjecture are section/context-level commands Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-10-02 16:20:52 -07:00			`constant p : num → num → num → Prop`
feat(frontends/lean): add 'obtains' expression Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-11 04:08:51 +01:00			`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`
refactor(library): rename exists_elim and exists_intro to exists.elim and exists.intro 2014-12-15 19:05:03 -08:00			`:= obtain a b c H, from H1, exists.intro a (H2 H)`