IMP_ANTISYM_RULE : (thm -> thm -> thm)

SYNOPSIS
Deduces equality of boolean terms from forward and backward implications.

DESCRIBE
When applied to the theorems A1 |- t1 ==> t2 and A2 |- t2 ==> t1, the inference rule IMP_ANTISYM_RULE returns the theorem A1 u A2 |- t1 = t2.
   A1 |- t1 ==> t2     A2 |- t2 ==> t1
  -------------------------------------  IMP_ANTISYM_RULE
           A1 u A2 |- t1 = t2

FAILURE
Fails unless the theorems supplied are a complementary implicative pair as indicated above.

SEEALSO  EQ_IMP_RULE,   EQ_MP,   EQ_TAC

HOL  Kananaskis 0