Commit graph

14 commits

Author SHA1 Message Date
Leonardo de Moura
2d27573e0c Add ImpAntisym axiom
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-07 08:29:20 -07:00
Leonardo de Moura
58fef282c3 Refactor theorems. Add new theorems.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-07 01:16:37 -07:00
Leonardo de Moura
345894d4ed Add => as a primitive. Define Not, And and Or using =>. Add MP and Discharge as axioms.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-06 20:22:09 -07:00
Leonardo de Moura
d88ff6f8e1 Add more theorems
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-06 19:10:38 -07:00
Leonardo de Moura
d1388f5e3c Define Lean forall. Prove forall elimination.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-06 16:44:58 -07:00
Leonardo de Moura
3ff3eb6444 Add Eta axiom
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-06 14:47:13 -07:00
Leonardo de Moura
68d092f5ef Prove congr1, congr2 and congr theorems. Add xtrans theorem.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-06 14:37:30 -07:00
Leonardo de Moura
ab915fb3f0 Add add_theorem
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-06 12:24:20 -07:00
Leonardo de Moura
9d6b421be9 Add theorems Truth, EqMP and EqTElim
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-06 12:17:55 -07:00
Leonardo de Moura
84f4a32c0e Change name convention for creating Lean expressions
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-06 11:27:14 -07:00
Leonardo de Moura
33d2dd2d8b Add subst proof rule. Define symm and trans using subst.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-06 02:03:22 -07:00
Leonardo de Moura
30513398bb Add basic definitions and axioms
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-05 20:06:42 -07:00
Leonardo de Moura
7e2d7dcf3d Add more builtin constants
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-05 20:06:42 -07:00
Leonardo de Moura
3f789ce2b7 Add let and heterogeneous equality. Add bool_type and bool_value.
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2013-08-04 09:37:52 -07:00