Show the Proof¶

In [1]:

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5^, 6^, 7^*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.statistics.sample_space_via_bijections
2	instantiation	8, 13, 10, 11	⊢
	: , : , :
3	instantiation	9, 13, 10, 11	⊢
	: , : , :
4	theorem		⊢
	proveit.physics.quantum.QPE._sample_space_bijection
5	instantiation	12, 13, 25, 20, 14^*	⊢
	: , : , :
6	instantiation	15, 25	⊢
	:
7	instantiation	16, 17	⊢
	:
8	theorem		⊢
	proveit.physics.quantum.circuits.register_meas_sample_space
9	theorem		⊢
	proveit.physics.quantum.circuits.register_meas_bijection
10	instantiation	18, 20	⊢
	: , :
11	instantiation	19, 20	⊢
	: , :
12	theorem		⊢
	proveit.physics.quantum.circuits.born_rule_on_register
13	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
14	instantiation	21, 22	⊢
	: , :
15	theorem		⊢
	proveit.physics.quantum.QPE._outcome_prob
16	axiom		⊢
	proveit.logic.booleans.eq_true_intro
17	instantiation	23	⊢
	:
18	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
19	theorem		⊢
	proveit.logic.booleans.conjunction.right_from_and
20	theorem		⊢
	proveit.physics.quantum.QPE._Psi_ket_is_normalized_vec
21	theorem		⊢
	proveit.logic.equality.equals_reversal
22	instantiation	24, 25	⊢
	:
23	axiom		⊢
	proveit.logic.equality.equals_reflexivity
24	axiom		⊢
	proveit.physics.quantum.QPE._alpha_m_def
25	assumption		⊢
^*equality replacement requirements