lean2/tests/lean/run/tactic21.lean

import logic
open tactic

theorem tst1 {A : Type} {a b c : A} {p : A → A → Prop} (H1 : p a b) (H2 : p b c) : ∃ x, p a x ∧ p x c
:= by apply exists.intro; apply and.intro; eassumption; eassumption

theorem tst2 {A : Type} {a b c d : A} {p : A → A → Prop} (Ha : p a c) (H1 : p a b) (Hb : p b d) (H2 : p b c) : ∃ x, p a x ∧ p x c
:= by apply exists.intro; apply and.intro; eassumption; eassumption

reveal tst2
print tst2
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): rename 'using' command to 'open' Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-09-03 23:00:38 +00:00			`open tactic`
feat(library/tactic): add eassumption tactic, and remove redundant 'subgoals' from apply tactic Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-03 19:59:48 +00:00
refactor(*): rename Bool to Prop Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-22 16:43:18 +00:00			`theorem tst1 {A : Type} {a b c : A} {p : A → A → Prop} (H1 : p a b) (H2 : p b c) : ∃ x, p a x ∧ p x c`
feat(frontends/lean): add tactic_notation command This addresses the first part of issue #461 We still need support for tactic definitions 2015-04-28 00:46:13 +00:00			`:= by apply exists.intro; apply and.intro; eassumption; eassumption`
feat(library/tactic): add eassumption tactic, and remove redundant 'subgoals' from apply tactic Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-03 19:59:48 +00:00
refactor(*): rename Bool to Prop Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-22 16:43:18 +00:00			`theorem tst2 {A : Type} {a b c d : A} {p : A → A → Prop} (Ha : p a c) (H1 : p a b) (Hb : p b d) (H2 : p b c) : ∃ x, p a x ∧ p x c`
feat(frontends/lean): add tactic_notation command This addresses the first part of issue #461 We still need support for tactic definitions 2015-04-28 00:46:13 +00:00			`:= by apply exists.intro; apply and.intro; eassumption; eassumption`
feat(library/tactic): add eassumption tactic, and remove redundant 'subgoals' from apply tactic Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-03 19:59:48 +00:00
feat(frontends/lean): rename 'wait' to 'reveal' Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2015-05-09 03:54:16 +00:00			`reveal tst2`
chore(*): remove support for Lua 2016-02-09 02:42:34 +00:00			`print tst2`