def sideEffects(self, knownTruth):
'''
Yield the TransitiveRelation side-effects (which also records knownLeftSides
and knownRightSides). Also derive the consequent as a side-effect.
As a special case, if the consequent is FALSE, do deriveViaContradiction.
'''
from proveit.logic.boolean._common_ import FALSE
for sideEffect in TransitiveRelation.sideEffects(self, knownTruth):
yield sideEffect
yield self.deriveConsequent # B given A=>B and A
if self.consequent == FALSE:
yield self.deriveViaContradiction # Not(A) given A=>FALSE or A given Not(A)=>FALSE
def sideEffects(self, knownTruth):
'''
Yield the TransitiveRelation side-effects (which also records knownLeftSides
and knownRightSides). Also derive the left and right implications,
derive the reversed version and attempt to derive equality.
'''
for sideEffect in TransitiveRelation.sideEffects(self, knownTruth):
yield sideEffect
yield self.deriveLeftImplication # B=>A given A<=>B
yield self.deriveRightImplication # A=>B given A<=>B
yield self.deriveReversed # B<=>A given A<=>B
yield self.deriveEquality # A=B given A<=>B (assuming A and B are in booleans)