Theorem Dependencies

proveit.logic.booleans.disjunction.singular_constructive_dilemma

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.disjunction import singular_constructive_dilemma

%dependencies singular_constructive_dilemma

Axioms required (directly or indirectly) to prove singular_constructive_dilemma

proveit.logic.booleans.disjunction.or_f_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.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

Theorems/conjectures that depend directly on singular_constructive_dilemma

proveit.logic.booleans.disjunction.constructive_dilemma

proveit.logic.booleans.disjunction.or_if_left

proveit.logic.booleans.disjunction.or_if_right

proveit.logic.booleans.forall_over_bool_by_cases

proveit.logic.booleans.from_excluded_middle

proveit.numbers.ordering.max_bin_args_commute

proveit.numbers.ordering.max_y_ge_x

proveit.numbers.ordering.min_bin_args_commute

proveit.numbers.ordering.min_nat_n_zero_is_zero

proveit.numbers.ordering.min_y_le_x

proveit.numbers.ordering.transitivity_less_eq_less

proveit.numbers.ordering.transitivity_less_eq_less_eq

proveit.numbers.ordering.transitivity_less_less_eq

proveit.physics.quantum.QPE._best_guarantee

proveit.physics.quantum.QPE._delta_b_is_zero_or_non_int

proveit.physics.quantum.QPE._fail_sum_prob_conds_equiv_lemma

proveit.physics.quantum.QPE._scaled_delta_b_is_zero_or_non_int