def substituteFalsehood(self, lambdaMap, assumptions=USE_DEFAULTS):
'''
Given not(A), derive P(A) from P(False).
'''
from proveit.logic.equality._theorems_ import substituteFalsehood
from proveit.logic import Equals
from proveit.common import P
Plambda = Equals._lambdaExpr(lambdaMap, self.operand)
return substituteFalsehood.specialize({x:self.operand, P:Plambda}, assumptions=assumptions)
def subRightSideInto(self, lambdaMap, assumptions=USE_DEFAULTS):
'''
From A equiv B, and given P(A), derive P(B) assuming P(A).
UNDER CONSTRUCTION, adapted from Equals class.
P(x) is provided via lambdaMap as a Lambda expression or an
object that returns a Lambda expression when calling lambdaMap()
(see proveit.lambda_map, proveit.lambda_map.SubExprRepl in
particular), or, if neither of those, an expression upon
which to perform a global replacement of self.lhs.
'''
from ._theorems_ import subRightSideInto
from proveit.logic import Equals
Plambda = Equals._lambdaExpr(lambdaMap, self.lhs)
return subRightSideInto.specialize(
{
A: self.lhs,
B: self.rhs,
P: Plambda
}, assumptions=assumptions)
