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	⊢
	: , : , :
1	reference	58	⊢
2	instantiation	58, 4, 5	⊢
	: , : , :
3	instantiation	58, 6, 7	⊢
	: , : , :
4	instantiation	71, 8	⊢
	: , : , :
5	instantiation	71, 9	⊢
	: , : , :
6	instantiation	10, 121, 118, 11, 12, 13, 29, 14, 16	⊢
	: , : , : , : , : , :
7	instantiation	15, 29, 16, 17	⊢
	: , : , :
8	instantiation	58, 18, 19	⊢
	: , : , :
9	instantiation	71, 20	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.disassociation
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	instantiation	74	⊢
	: , :
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	instantiation	119, 109, 21	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
16	instantiation	99, 22	⊢
	:
17	instantiation	23	⊢
	:
18	instantiation	71, 24	⊢
	: , : , :
19	instantiation	25, 114, 106, 26*	⊢
	: , : , : , :
20	instantiation	71, 27	⊢
	: , : , :
21	instantiation	92, 36	⊢
	:
22	instantiation	28, 29, 73	⊢
	: , :
23	axiom		⊢
	proveit.logic.equality.equals_reflexivity
24	instantiation	30, 96, 43, 31*, 32*	⊢
	: , : , : , :
25	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
26	instantiation	58, 33, 34	⊢
	: , : , :
27	instantiation	71, 35	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
29	instantiation	119, 109, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.division.prod_of_fracs
31	instantiation	103, 96	⊢
	:
32	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
33	instantiation	61, 118, 37, 38, 39, 40	⊢
	: , : , : , :
34	instantiation	41, 42, 43, 96, 44*, 45*	⊢
	: , : , :
35	instantiation	46, 96, 47, 48, 49*	⊢
	: , :
36	instantiation	50, 102, 98, 83	⊢
	: , :
37	instantiation	74	⊢
	: , :
38	instantiation	74	⊢
	: , :
39	instantiation	58, 51, 52	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.mult_4_4
41	theorem		⊢
	proveit.numbers.division.frac_cancel_left
42	instantiation	119, 54, 53	⊢
	: , : , :
43	instantiation	119, 54, 55	⊢
	: , : , :
44	instantiation	103, 56	⊢
	:
45	theorem		⊢
	proveit.numbers.numerals.decimals.mult_8_2
46	theorem		⊢
	proveit.numbers.division.div_as_mult
47	instantiation	119, 109, 57	⊢
	: , : , :
48	instantiation	93, 70	⊢
	:
49	instantiation	58, 59, 60	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.division.div_real_closure
51	instantiation	61, 118, 62, 63, 64, 65	⊢
	: , : , : , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_4
53	instantiation	119, 67, 66	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
55	instantiation	119, 67, 68	⊢
	: , : , :
56	instantiation	119, 109, 69	⊢
	: , : , :
57	instantiation	115, 116, 70	⊢
	: , : , :
58	axiom		⊢
	proveit.logic.equality.equals_transitivity
59	instantiation	71, 72	⊢
	: , : , :
60	instantiation	75, 73	⊢
	:
61	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
62	instantiation	74	⊢
	: , :
63	instantiation	74	⊢
	: , :
64	instantiation	75, 76	⊢
	:
65	instantiation	103, 76	⊢
	:
66	instantiation	119, 78, 77	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
68	instantiation	119, 78, 79	⊢
	: , : , :
69	instantiation	119, 107, 80	⊢
	: , : , :
70	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
71	axiom		⊢
	proveit.logic.equality.substitution
72	instantiation	81, 86, 110, 82, 83, 84*	⊢
	: , : , :
73	instantiation	85, 86, 87	⊢
	: , :
74	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
75	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
76	instantiation	119, 109, 88	⊢
	: , : , :
77	instantiation	119, 90, 89	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
79	instantiation	119, 90, 94	⊢
	: , : , :
80	instantiation	119, 113, 91	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
82	instantiation	92, 102	⊢
	:
83	instantiation	93, 94	⊢
	:
84	instantiation	95, 104, 96, 97*	⊢
	: , :
85	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
86	instantiation	119, 109, 98	⊢
	: , : , :
87	instantiation	99, 104	⊢
	:
88	instantiation	119, 107, 100	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.numerals.decimals.posnat8
90	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
91	instantiation	119, 120, 101	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.negation.real_closure
93	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
94	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
95	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
96	instantiation	119, 109, 102	⊢
	: , : , :
97	instantiation	103, 104	⊢
	:
98	instantiation	119, 107, 105	⊢
	: , : , :
99	theorem		⊢
	proveit.numbers.negation.complex_closure
100	instantiation	119, 113, 106	⊢
	: , : , :
101	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
102	instantiation	119, 107, 108	⊢
	: , : , :
103	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
104	instantiation	119, 109, 110	⊢
	: , : , :
105	instantiation	119, 113, 111	⊢
	: , : , :
106	instantiation	119, 120, 112	⊢
	: , : , :
107	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
108	instantiation	119, 113, 114	⊢
	: , : , :
109	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
110	instantiation	115, 116, 117	⊢
	: , : , :
111	instantiation	119, 120, 118	⊢
	: , : , :
112	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
113	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
114	instantiation	119, 120, 121	⊢
	: , : , :
115	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
116	instantiation	122, 123	⊢
	: , :
117	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
118	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
119	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
120	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
121	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
122	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
123	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements