Theorem Dependencies

proveit.logic.booleans.implication.modus_tollens_denial

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 modus_tollens_denial

%dependencies modus_tollens_denial

Axioms required (directly or indirectly) to prove modus_tollens_denial

proveit.logic.booleans.eq_true_elim

proveit.logic.booleans.eq_true_intro

proveit.logic.booleans.implication.denial_via_contradiction

proveit.logic.booleans.negation.not_t

proveit.logic.equality.equals_symmetry

proveit.logic.equality.equals_transitivity

proveit.logic.equality.substitution

Theorems/conjectures that depend directly on modus_tollens_denial

proveit.logic.booleans.disjunction.not_left_if_neither

proveit.logic.booleans.disjunction.not_right_if_neither

proveit.logic.booleans.disjunction.singular_constructive_dilemma_lemma

proveit.logic.booleans.implication.contrapose_neg_consequent

proveit.logic.booleans.implication.to_contraposition

proveit.logic.sets.equivalence.set_not_equiv_reversal

proveit.numbers.exponentiation.sqrt2_is_not_rational