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	46	⊢
2	instantiation	46, 3	⊢
	: , : , :
3	instantiation	4, 5, 6, 7	⊢
	: , : , : , :
4	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
5	instantiation	46, 8	⊢
	: , : , :
6	instantiation	10, 9	⊢
	: , :
7	instantiation	10, 11	⊢
	: , :
8	instantiation	46, 12	⊢
	: , : , :
9	instantiation	13, 14, 15	⊢
	: , :
10	theorem		⊢
	proveit.logic.equality.equals_reversal
11	instantiation	46, 16	⊢
	: , : , :
12	instantiation	17, 52, 18, 19, 20*	⊢
	: , :
13	theorem		⊢
	proveit.numbers.addition.commutation
14	instantiation	21, 22	⊢
	:
15	instantiation	102, 72, 23	⊢
	: , : , :
16	instantiation	24, 25, 26	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.division.div_as_mult
18	instantiation	102, 72, 27	⊢
	: , : , :
19	instantiation	42, 39	⊢
	:
20	instantiation	28, 29, 73, 30, 31, 32*	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.negation.complex_closure
22	instantiation	102, 72, 33	⊢
	: , : , :
23	instantiation	34, 35	⊢
	:
24	axiom		⊢
	proveit.logic.equality.equals_transitivity
25	instantiation	46, 36	⊢
	: , : , :
26	instantiation	37, 49, 69, 50, 51, 58, 52, 53, 38*	⊢
	: , : , : , : , :
27	instantiation	78, 79, 39	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
29	instantiation	102, 72, 40	⊢
	: , : , :
30	instantiation	102, 70, 41	⊢
	: , : , :
31	instantiation	42, 96	⊢
	:
32	instantiation	43, 66, 58, 44*	⊢
	: , :
33	instantiation	45, 61, 62	⊢
	: , :
34	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
35	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
36	instantiation	46, 47	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.multiplication.mult_neg_any
38	instantiation	48, 49, 69, 50, 51, 52, 53	⊢
	: , : , : , :
39	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
40	instantiation	102, 70, 54	⊢
	: , : , :
41	instantiation	102, 77, 55	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
43	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
44	instantiation	56, 66	⊢
	:
45	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
46	axiom		⊢
	proveit.logic.equality.substitution
47	instantiation	57, 58, 66, 59*	⊢
	: , :
48	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
49	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
50	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
51	instantiation	60	⊢
	: , :
52	instantiation	102, 72, 61	⊢
	: , : , :
53	instantiation	102, 72, 62	⊢
	: , : , :
54	instantiation	102, 77, 63	⊢
	: , : , :
55	instantiation	98, 94	⊢
	:
56	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
57	theorem		⊢
	proveit.numbers.multiplication.mult_neg_left
58	instantiation	102, 72, 64	⊢
	: , : , :
59	instantiation	65, 66	⊢
	:
60	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
61	instantiation	102, 70, 67	⊢
	: , : , :
62	instantiation	102, 70, 68	⊢
	: , : , :
63	instantiation	102, 100, 69	⊢
	: , : , :
64	instantiation	102, 70, 71	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
66	instantiation	102, 72, 73	⊢
	: , : , :
67	instantiation	102, 77, 74	⊢
	: , : , :
68	instantiation	102, 75, 76	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
70	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
71	instantiation	102, 77, 94	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
73	instantiation	78, 79, 97	⊢
	: , : , :
74	instantiation	102, 80, 81	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
76	instantiation	82, 83, 84	⊢
	: , :
77	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
78	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
79	instantiation	85, 86	⊢
	: , :
80	instantiation	87, 88, 99	⊢
	: , :
81	assumption		⊢
82	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
83	instantiation	102, 89, 90	⊢
	: , : , :
84	instantiation	98, 91	⊢
	:
85	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
86	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
87	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
88	instantiation	92, 93, 94	⊢
	: , :
89	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
90	instantiation	102, 95, 96	⊢
	: , : , :
91	instantiation	102, 103, 97	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
93	instantiation	98, 99	⊢
	:
94	instantiation	102, 100, 101	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
96	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
97	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
98	theorem		⊢
	proveit.numbers.negation.int_closure
99	instantiation	102, 103, 104	⊢
	: , : , :
100	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
101	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
102	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
103	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
104	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements