Theorem Dependencies

proveit.logic.equality.not_equals_contradiction

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.equality import not_equals_contradiction

%dependencies not_equals_contradiction

Axioms required (directly or indirectly) to prove not_equals_contradiction

proveit.logic.booleans.eq_true_elim

proveit.logic.booleans.eq_true_intro

proveit.logic.booleans.negation.not_t

proveit.logic.equality.equals_symmetry

proveit.logic.equality.equals_transitivity

proveit.logic.equality.substitution

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

proveit.logic.equality.not_equals_def

Theorems/conjectures that depend directly on not_equals_contradiction

proveit.logic.booleans.from_not_false

proveit.logic.booleans.implication.untrue_antecedent_implication