Theorem Dependencies

proveit.logic.booleans.implication.false_iff_true_negated

see proof

import proveit
# Automation is not needed when querying dependencies:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
from proveit.logic.booleans.implication import false_iff_true_negated

%dependencies false_iff_true_negated

Axioms required (directly or indirectly) to prove false_iff_true_negated

proveit.logic.booleans.conjunction.and_t_f

proveit.logic.booleans.eq_true_elim

proveit.logic.booleans.eq_true_intro

proveit.logic.booleans.implication.affirmation_via_contradiction

proveit.logic.booleans.implication.denial_via_contradiction

proveit.logic.booleans.implication.implies_t_f

proveit.logic.booleans.negation.negation_elim

proveit.logic.booleans.negation.not_f

proveit.logic.booleans.negation.not_t

proveit.logic.equality.equality_in_bool

proveit.logic.equality.equals_symmetry

proveit.logic.equality.equals_transitivity

proveit.logic.equality.substitution

Conservative definitions used (but not logically required) to prove false_iff_true_negated

proveit.logic.booleans.implication.iff_def

proveit.logic.equality.not_equals_def

Theorems/conjectures that depend directly on false_iff_true_negated

proveit.logic.booleans.implication.eq_from_iff

proveit.logic.booleans.implication.iff_closure