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Theorem Dependencies

proveit.numbers.numerals.decimals.tuple_len_2_typical_eq

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.numbers.numerals.decimals import tuple_len_2_typical_eq
In [2]:
%dependencies tuple_len_2_typical_eq

Conservative definitions used (but not logically required) to prove tuple_len_2_typical_eq

proveit.numbers.numerals.decimals.tuple_len_2_typical_eq

Theorems/conjectures that depend directly on tuple_len_2_typical_eq

proveit.core_expr_types.tuples.tuple_eq_via_elem_eq
proveit.logic.booleans.conjunction.nand_if_not_left
proveit.logic.booleans.conjunction.nand_if_not_right
proveit.logic.booleans.disjunction.closure
proveit.logic.booleans.disjunction.demorgans_law_and_to_or_bin_explicit
proveit.logic.booleans.fold_is_bool
proveit.logic.booleans.implication.eq_from_iff
proveit.logic.booleans.in_bool_def
proveit.logic.booleans.unfold_is_bool_explicit
proveit.logic.sets.intersection_is_subset_eq
proveit.logic.sets.intersection_subset_eq_union
proveit.logic.sets.set_subset_eq_of_union_with_set
proveit.numbers.exponentiation.sqrt2_is_not_rational
proveit.numbers.numerals.decimals.tuple_len_3
proveit.numbers.summation.finite_geom_sum
proveit.numbers.summation.sum_first_n_int
proveit.physics.quantum.QPE._Psi_output
proveit.physics.quantum.QPE._alpha_ideal_case
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_floor_diff_in_interval
proveit.physics.quantum.QPE._delta_b_in_interval
proveit.physics.quantum.QPE._delta_b_is_zero_or_non_int
proveit.physics.quantum.QPE._delta_b_not_eq_scaledNonzeroInt
proveit.physics.quantum.QPE._e_value_ge_two
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._non_int_delta_b_diff
proveit.physics.quantum.QPE._outcome_prob
proveit.physics.quantum.QPE._phase_from_best_with_delta_b
proveit.physics.quantum.QPE._precision_guarantee
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_is_zero_or_non_int
proveit.physics.quantum.QPE._scaled_delta_b_round_in_interval
proveit.physics.quantum.QPE.qpe_exact