Theorem Dependencies

proveit.logic.sets.membership.fold_not_in_set

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.sets.membership import fold_not_in_set

%dependencies fold_not_in_set

Axioms required (directly or indirectly) to prove fold_not_in_set

proveit.logic.booleans.eq_true_elim

proveit.logic.booleans.eq_true_intro

proveit.logic.equality.equals_transitivity

proveit.logic.equality.substitution

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

proveit.logic.sets.membership.not_in_set_def

Theorems/conjectures that depend directly on fold_not_in_set

proveit.numbers.exponentiation.sqrt2_is_not_rational