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