logo

Theorem Dependencies

proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero

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.number_sets.rational_numbers import nonzero_int_within_rational_nonzero
In [2]:
%dependencies nonzero_int_within_rational_nonzero

Unproven conjectures required (directly or indirectly) to prove nonzero_int_within_rational_nonzero

proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero

Theorems/conjectures that depend directly on nonzero_int_within_rational_nonzero

proveit.numbers.exponentiation.sqrt2_is_not_rational
proveit.numbers.summation.finite_geom_sum
proveit.numbers.summation.sum_first_n_int
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_not_eq_scaledNonzeroInt
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._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._scaled_delta_b_floor_in_interval
proveit.physics.quantum.QPE._scaled_delta_b_round_in_interval
proveit.physics.quantum.QPE.qpe_exact