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^*	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	5, 41	⊢
	:
3	instantiation	6, 41	⊢
	:
4	instantiation	7, 8, 9	⊢
	: , : , :
5	theorem		⊢
	proveit.physics.quantum.QPE._alpha_m_mod_as_geometric_sum
6	theorem		⊢
	proveit.physics.quantum.QPE._phase_from_best_with_delta_b
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	10, 11, 12, 13, 14, 15, 22, 18, 16	⊢
	: , : , : , : , : , :
9	instantiation	17, 22, 18, 19	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.disassociation
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	20	⊢
	: , :
16	instantiation	21, 22	⊢
	:
17	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
18	instantiation	39, 31, 23	⊢
	: , : , :
19	instantiation	24	⊢
	:
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	theorem		⊢
	proveit.numbers.negation.complex_closure
22	instantiation	25, 26, 27, 28	⊢
	: , :
23	instantiation	29, 41	⊢
	:
24	axiom		⊢
	proveit.logic.equality.equals_reflexivity
25	theorem		⊢
	proveit.numbers.division.div_complex_closure
26	instantiation	39, 31, 30	⊢
	: , : , :
27	instantiation	39, 31, 32	⊢
	: , : , :
28	instantiation	33, 38	⊢
	:
29	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
30	instantiation	39, 34, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
32	instantiation	36, 37, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	39, 40, 41	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
37	instantiation	42, 43	⊢
	: , :
38	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
42	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
^*equality replacement requirements