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	modus ponens	1, 2	⊢
1	instantiation	3, 4, 5, 6, 7^, 8^, 9^*	⊢
	: , : , : , : , : , :
2	generalization	10	⊢
3	theorem		⊢
	proveit.statistics.sample_space_via_bijections
4	instantiation	11, 16, 13, 14	⊢
	: , : , :
5	instantiation	12, 16, 13, 14	⊢
	: , : , :
6	theorem		⊢
	proveit.physics.quantum.QPE._sample_space_bijection
7	instantiation	15, 16, 28, 23, 17^*	⊢
	: , : , :
8	instantiation	18, 28	⊢
	:
9	instantiation	19, 20	⊢
	:
10	axiom		⊢
	proveit.logic.booleans.true_axiom
11	theorem		⊢
	proveit.physics.quantum.circuits.register_meas_sample_space
12	theorem		⊢
	proveit.physics.quantum.circuits.register_meas_bijection
13	instantiation	21, 23	⊢
	: , :
14	instantiation	22, 23	⊢
	: , :
15	theorem		⊢
	proveit.physics.quantum.circuits.born_rule_on_register
16	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
17	instantiation	24, 25	⊢
	: , :
18	theorem		⊢
	proveit.physics.quantum.QPE._outcome_prob
19	axiom		⊢
	proveit.logic.booleans.eq_true_intro
20	instantiation	26	⊢
	:
21	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
22	theorem		⊢
	proveit.logic.booleans.conjunction.right_from_and
23	theorem		⊢
	proveit.physics.quantum.QPE._Psi_ket_is_normalized_vec
24	theorem		⊢
	proveit.logic.equality.equals_reversal
25	instantiation	27, 28	⊢
	:
26	axiom		⊢
	proveit.logic.equality.equals_reflexivity
27	axiom		⊢
	proveit.physics.quantum.QPE._alpha_m_def
28	assumption		⊢
^*equality replacement requirements