Theorem Dependencies

proveit.logic.sets.inclusion.transitivity_subset_eq_subset_eq

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.inclusion import transitivity_subset_eq_subset_eq

%dependencies transitivity_subset_eq_subset_eq

Axioms required (directly or indirectly) to prove transitivity_subset_eq_subset_eq

proveit.logic.booleans.eq_true_elim

proveit.logic.booleans.eq_true_intro

proveit.logic.equality.equals_symmetry

proveit.logic.equality.equals_transitivity

proveit.logic.equality.substitution

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

proveit.logic.sets.inclusion.subset_eq_def

No theorems/conjectures depend upon transitivity_subset_eq_subset_eq