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	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	4, 30, 22, 15, 5^*	⊢
	: , : , :
3	instantiation	6, 7, 30, 8, 9, 10, 11, 12	⊢
	: , : , : , : , : , : , :
4	theorem		⊢
	proveit.physics.quantum.circuits.born_rule_on_register
5	instantiation	24, 13	⊢
	: , :
6	theorem		⊢
	proveit.physics.quantum.circuits.trivial_expansion_below
7	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
8	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
9	instantiation	14, 15	⊢
	: , :
10	instantiation	16, 30, 22	⊢
	: , :
11	axiom		⊢
	proveit.physics.quantum.QPE._u_ket_register
12	instantiation	17, 18, 19, 20	⊢
	: , : , : , :
13	instantiation	21, 22	⊢
	:
14	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
15	theorem		⊢
	proveit.physics.quantum.QPE._Psi_ket_is_normalized_vec
16	theorem		⊢
	proveit.physics.quantum.algebra.num_ket_in_register_space
17	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
18	instantiation	26, 27	⊢
	: , :
19	instantiation	23	⊢
	:
20	instantiation	24, 25	⊢
	: , :
21	axiom		⊢
	proveit.physics.quantum.QPE._alpha_m_def
22	assumption		⊢
23	axiom		⊢
	proveit.logic.equality.equals_reflexivity
24	theorem		⊢
	proveit.logic.equality.equals_reversal
25	instantiation	26, 27	⊢
	: , :
26	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
27	instantiation	28, 29, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
30	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
^*equality replacement requirements