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Theorem Dependencies

proveit.logic.equality.equals_reversal

see proof

In [1]:
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 equals_reversal
In [2]:
%dependencies equals_reversal

Axioms required (directly or indirectly) to prove equals_reversal

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

Theorems/conjectures that depend directly on equals_reversal

proveit.core_expr_types.tuples.singular_range_reduction
proveit.linear_algebra.scalar_multiplication.factorization_from_vectors
proveit.logic.booleans.implication.eq_from_mutual_impl
proveit.logic.equality.sub_right_side_into
proveit.logic.sets.equivalence.set_equiv_reversal
proveit.numbers.numerals.decimals.nat1
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.summation.finite_geom_sum
proveit.numbers.summation.sum_first_n_int
proveit.physics.quantum.QPE._Omega_is_sample_space
proveit.physics.quantum.QPE._Psi_ket_is_normalized_vec
proveit.physics.quantum.QPE._Psi_output
proveit.physics.quantum.QPE._alpha_m_evaluation
proveit.physics.quantum.QPE._alpha_m_mod_as_geometric_sum
proveit.physics.quantum.QPE._alpha_m_mod_evaluation
proveit.physics.quantum.QPE._alpha_sqrd_upper_bound
proveit.physics.quantum.QPE._alpha_summed
proveit.physics.quantum.QPE._best_guarantee
proveit.physics.quantum.QPE._best_guarantee_delta_nonzero
proveit.physics.quantum.QPE._delta_b_in_interval
proveit.physics.quantum.QPE._delta_b_is_zero_or_non_int
proveit.physics.quantum.QPE._e_value_in_e_domain
proveit.physics.quantum.QPE._fail_sum
proveit.physics.quantum.QPE._fail_sum_prob_conds_equiv_lemma
proveit.physics.quantum.QPE._failure_upper_bound
proveit.physics.quantum.QPE._failure_upper_bound_lemma
proveit.physics.quantum.QPE._modabs_in_full_domain_simp
proveit.physics.quantum.QPE._outcome_prob
proveit.physics.quantum.QPE._phase_from_best_with_delta_b
proveit.physics.quantum.QPE._precision_guarantee_lemma_01
proveit.physics.quantum.QPE._precision_guarantee_lemma_02
proveit.physics.quantum.QPE._psi_t_formula
proveit.physics.quantum.QPE._psi_t_ket_is_normalized_vec
proveit.physics.quantum.QPE._psi_t_output
proveit.physics.quantum.QPE._sample_space_bijection
proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
proveit.physics.quantum.QPE._success_complements_failure