lean2/tests/lean/run/elim2.lean

import logic
open tactic
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,
     by (apply exists.intro; apply H2; eassumption)
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			`open tactic`
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 23:20:52 +00:00			`constant p : num → num → num → Prop`
feat(library/unifier): handle 'first-order' flex-flex constraints Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-11 03:51:28 +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`
fix(tests/lean/run/elim2): adjust test to reflect recent changes 2015-02-05 18:54:00 +00:00			`:= obtain a b c H, from H1,`
refactor(library): rename exists_elim and exists_intro to exists.elim and exists.intro 2014-12-16 03:05:03 +00:00			`by (apply exists.intro; apply H2; eassumption)`