Theorem Dependencies¶

proveit.numbers.multiplication.leftward_commutation ¶

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.multiplication import leftward_commutation

In [2]:

%dependencies leftward_commutation

Unproven conjectures required (directly or indirectly) to prove leftward_commutation

proveit.numbers.multiplication.leftward_commutation

Theorems/conjectures that depend directly on leftward_commutation

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_delta_nonzero

proveit.physics.quantum.QPE._precision_guarantee_lemma_01

proveit.physics.quantum.QPE._psi_t_formula

proveit.physics.quantum.QPE._psi_t_ket_is_normalized_vec