Show the Proof

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

	step type	requirements	statement
0	instantiation	1, 2	⊢
	: , : , :
1	reference	45	⊢
2	instantiation	3, 4, 5, 6	⊢
	: , : , : , :
3	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
4	instantiation	45, 7	⊢
	: , : , :
5	instantiation	9, 8	⊢
	: , :
6	instantiation	9, 10	⊢
	: , :
7	instantiation	45, 11	⊢
	: , : , :
8	instantiation	12, 13, 14	⊢
	: , :
9	theorem		⊢
	proveit.logic.equality.equals_reversal
10	instantiation	45, 15	⊢
	: , : , :
11	instantiation	16, 51, 17, 18, 19*	⊢
	: , :
12	theorem		⊢
	proveit.numbers.addition.commutation
13	instantiation	20, 21	⊢
	:
14	instantiation	101, 71, 22	⊢
	: , : , :
15	instantiation	23, 24, 25	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.division.div_as_mult
17	instantiation	101, 71, 26	⊢
	: , : , :
18	instantiation	41, 38	⊢
	:
19	instantiation	27, 28, 72, 29, 30, 31*	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.negation.complex_closure
21	instantiation	101, 71, 32	⊢
	: , : , :
22	instantiation	33, 34	⊢
	:
23	axiom		⊢
	proveit.logic.equality.equals_transitivity
24	instantiation	45, 35	⊢
	: , : , :
25	instantiation	36, 48, 68, 49, 50, 57, 51, 52, 37*	⊢
	: , : , : , : , :
26	instantiation	77, 78, 38	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
28	instantiation	101, 71, 39	⊢
	: , : , :
29	instantiation	101, 69, 40	⊢
	: , : , :
30	instantiation	41, 95	⊢
	:
31	instantiation	42, 65, 57, 43*	⊢
	: , :
32	instantiation	44, 60, 61	⊢
	: , :
33	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
34	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
35	instantiation	45, 46	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.multiplication.mult_neg_any
37	instantiation	47, 48, 68, 49, 50, 51, 52	⊢
	: , : , : , :
38	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
39	instantiation	101, 69, 53	⊢
	: , : , :
40	instantiation	101, 76, 54	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
42	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
43	instantiation	55, 65	⊢
	:
44	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
45	axiom		⊢
	proveit.logic.equality.substitution
46	instantiation	56, 57, 65, 58*	⊢
	: , :
47	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
48	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
49	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
50	instantiation	59	⊢
	: , :
51	instantiation	101, 71, 60	⊢
	: , : , :
52	instantiation	101, 71, 61	⊢
	: , : , :
53	instantiation	101, 76, 62	⊢
	: , : , :
54	instantiation	97, 93	⊢
	:
55	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
56	theorem		⊢
	proveit.numbers.multiplication.mult_neg_left
57	instantiation	101, 71, 63	⊢
	: , : , :
58	instantiation	64, 65	⊢
	:
59	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
60	instantiation	101, 69, 66	⊢
	: , : , :
61	instantiation	101, 69, 67	⊢
	: , : , :
62	instantiation	101, 99, 68	⊢
	: , : , :
63	instantiation	101, 69, 70	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
65	instantiation	101, 71, 72	⊢
	: , : , :
66	instantiation	101, 76, 73	⊢
	: , : , :
67	instantiation	101, 74, 75	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
70	instantiation	101, 76, 93	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
72	instantiation	77, 78, 96	⊢
	: , : , :
73	instantiation	101, 79, 80	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
75	instantiation	81, 82, 83	⊢
	: , :
76	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
77	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
78	instantiation	84, 85	⊢
	: , :
79	instantiation	86, 87, 98	⊢
	: , :
80	assumption		⊢
81	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
82	instantiation	101, 88, 89	⊢
	: , : , :
83	instantiation	97, 90	⊢
	:
84	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
85	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
86	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
87	instantiation	91, 92, 93	⊢
	: , :
88	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
89	instantiation	101, 94, 95	⊢
	: , : , :
90	instantiation	101, 102, 96	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
92	instantiation	97, 98	⊢
	:
93	instantiation	101, 99, 100	⊢
	: , : , :
94	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
95	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
96	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
97	theorem		⊢
	proveit.numbers.negation.int_closure
98	instantiation	101, 102, 103	⊢
	: , : , :
99	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
100	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
101	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
102	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
103	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements