lean2/tests/lean/run/tactic11.lean

import logic
open tactic

theorem tst (a b : Prop) (H : a ↔ b) : b ↔ a
:= have H1 [fact] : a → b, -- We need to mark H1 as fact, otherwise it is not visible by tactics
   from iff.elim_left H,
   by apply iff.intro;
      apply (assume Hb, iff.elim_right H Hb);
      apply (assume Ha, H1 Ha)
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(frontends/lean): add exact_apply Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-06-30 07:51:11 +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 tst (a b : Prop) (H : a ↔ b) : b ↔ a`
feat(frontends/parser): improve error message when an apply tactic refers a local constant that is not marked as [fact] Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-02 21:09:01 +00:00			`:= have H1 [fact] : a → b, -- We need to mark H1 as fact, otherwise it is not visible by tactics`
refactor(library): add namespaces 'or', 'and' and 'iff' Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-09-05 04:25:21 +00:00			`from iff.elim_left H,`
			`by apply iff.intro;`
			`apply (assume Hb, iff.elim_right H Hb);`
fix(library/standard): orelse notation, avoid conflict with inductive datatype declaration Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-04 17:10:05 +00:00			`apply (assume Ha, H1 Ha)`