def __init__(self, *operands):
'''
Or together any number of operands: A or B or C
'''
Operation.__init__(self, Or._operator_, operands)
#deduce trivial disjunctive equivalances with 0 or 1 operand
#avoid infinite recursion by storing previously encountered expressions
if self in Or.trivialDisjunctions:
return
if len(operands) == 0:
Or.trivialDisjunctions.add(self)
try:
from proveit.logic.boolean.disjunction._axioms_ import emptyDisjunction
except:
pass # emptyDisjunction not initially defined when doing a clean rebuild
if len(operands) == 1:
operand = operands[0]
try:
Or.trivialDisjunctions.add(self)
inBool(operand).prove(automation=False)
self.unaryReduction()
except:
pass
def deriveInBool(self, assumptions=USE_DEFAULTS):
'''
From (A or B or ... or Z) derive [(A or B or ... or Z) in Booleans].
'''
inBool(self).conclude(assumptions=assumptions)
def deriveInBool(self, assumptions=USE_DEFAULTS):
'''
From Not(A) derive [Not(A) in Booleans].
'''
return inBool(self).prove(assumptions=assumptions)
def deriveInBool(self, assumptions=USE_DEFAULTS):
'''
From (A and B and ... and Z) derive [(A and B and ... and Z) in Booleans].
'''
return inBool(self).prove(assumptions=assumptions)
def deriveInBool(self, assumptions=USE_DEFAULTS):
'''
From (A and B and ... and Z) derive [(A and B and ... and Z) in Booleans].
'''
inBool(self).conclude(assumptions=assumptions)