lean2/tests/lean/run/tactic12.lean

import logic
open tactic

theorem tst (a b : Prop) (H : ¬ a ∨ ¬ b) (Hb : b) : ¬ a ∧ b
:= by apply and.intro;
      apply not_intro;
      exact
        (assume Ha, or.elim H
          (assume Hna, @absurd _ false Ha Hna)
          (assume Hnb, @absurd _ false Hb Hnb));
      assumption
-												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 'exact' tactic

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>

											
										
										
											2014-07-03 01:32:44 +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) (Hb : b) : ¬ a ∧ b
-												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
+								:= by apply and.intro;
-												feat(library/tactic): add 'exact' tactic

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>

											
										
										
											2014-07-03 01:32:44 +00:00
+								      apply not_intro;
 								      exact
-												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
+								        (assume Ha, or.elim H
-												refactor(library/logic/basic): rename absurd_elim to absurd, delete contrapos and trivial_not_true theorems

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>

											
										
										
											2014-08-28 01:34:09 +00:00
+								          (assume Hna, @absurd _ false Ha Hna)
 								          (assume Hnb, @absurd _ false Hb Hnb));
-												feat(library/tactic): add 'exact' tactic

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>

											
										
										
											2014-07-03 01:32:44 +00:00
+								      assumption