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	theorem		⊢
	proveit.core_expr_types.conditionals.satisfied_condition_reduction
2	instantiation	3, 4	⊢
	: , :
3	theorem		⊢
	proveit.numbers.ordering.relax_less
4	instantiation	5, 6, 7, 88, 8, 9*, 10*	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
6	instantiation	120, 109, 11	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
8	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
9	instantiation	43, 12, 13, 14	⊢
	: , : , : , :
10	instantiation	43, 15, 16, 17	⊢
	: , : , : , :
11	instantiation	120, 116, 18	⊢
	: , : , :
12	instantiation	27, 19, 20	⊢
	: , : , :
13	instantiation	51	⊢
	:
14	instantiation	56, 26	⊢
	: , :
15	instantiation	27, 21, 22	⊢
	: , : , :
16	instantiation	51	⊢
	:
17	instantiation	56, 33	⊢
	: , :
18	instantiation	64, 23, 66	⊢
	: , :
19	instantiation	58, 26	⊢
	: , : , :
20	instantiation	27, 24, 25	⊢
	: , : , :
21	instantiation	58, 26	⊢
	: , : , :
22	instantiation	27, 28, 29	⊢
	: , : , :
23	instantiation	120, 81, 30	⊢
	: , : , :
24	instantiation	34, 115, 122, 35, 36, 37, 31, 39, 71	⊢
	: , : , : , : , : , :
25	instantiation	32, 35, 122, 37, 36, 39, 71	⊢
	: , : , : , :
26	instantiation	58, 33	⊢
	: , : , :
27	axiom		⊢
	proveit.logic.equality.equals_transitivity
28	instantiation	34, 115, 122, 35, 36, 37, 76, 39, 71	⊢
	: , : , : , : , : , :
29	instantiation	38, 76, 39, 40	⊢
	: , : , :
30	instantiation	41, 122, 42	⊢
	: , :
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
32	theorem		⊢
	proveit.numbers.addition.elim_zero_any
33	instantiation	43, 44, 45, 46	⊢
	: , : , : , :
34	theorem		⊢
	proveit.numbers.addition.disassociation
35	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
36	instantiation	47	⊢
	: , :
37	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
38	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
39	instantiation	48, 49, 50	⊢
	: , :
40	instantiation	51	⊢
	:
41	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
42	instantiation	52, 53, 54	⊢
	:
43	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
44	instantiation	58, 55	⊢
	: , : , :
45	instantiation	56, 57	⊢
	: , :
46	instantiation	58, 59	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
48	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
49	instantiation	60, 76, 61, 62	⊢
	: , :
50	instantiation	120, 100, 63	⊢
	: , : , :
51	axiom		⊢
	proveit.logic.equality.equals_reflexivity
52	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
53	instantiation	64, 65, 66	⊢
	: , :
54	instantiation	67, 68	⊢
	: , :
55	instantiation	69, 70, 71	⊢
	: , :
56	theorem		⊢
	proveit.logic.equality.equals_reversal
57	instantiation	72, 91, 85, 84, 78	⊢
	: , : , :
58	axiom		⊢
	proveit.logic.equality.substitution
59	instantiation	73, 74, 119	⊢
	: , :
60	theorem		⊢
	proveit.numbers.division.div_complex_closure
61	instantiation	75, 91, 76	⊢
	: , :
62	instantiation	77, 78, 79	⊢
	: , : , :
63	instantiation	92, 93, 80	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
65	instantiation	120, 81, 94	⊢
	: , : , :
66	instantiation	120, 82, 112	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
68	instantiation	83, 94	⊢
	:
69	theorem		⊢
	proveit.numbers.addition.commutation
70	instantiation	120, 100, 84	⊢
	: , : , :
71	instantiation	120, 100, 85	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
73	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
74	instantiation	120, 86, 87	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
76	instantiation	120, 100, 88	⊢
	: , : , :
77	theorem		⊢
	proveit.logic.equality.sub_left_side_into
78	instantiation	89, 114	⊢
	:
79	instantiation	90, 91	⊢
	:
80	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
81	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
82	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
83	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
84	instantiation	92, 93, 94	⊢
	: , : , :
85	instantiation	120, 95, 96	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
87	instantiation	120, 97, 98	⊢
	: , : , :
88	instantiation	120, 109, 99	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
90	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
91	instantiation	120, 100, 101	⊢
	: , : , :
92	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
93	instantiation	102, 103	⊢
	: , :
94	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
95	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
96	instantiation	120, 104, 105	⊢
	: , : , :
97	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
98	instantiation	120, 106, 107	⊢
	: , : , :
99	instantiation	120, 116, 108	⊢
	: , : , :
100	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
101	instantiation	120, 109, 110	⊢
	: , : , :
102	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
103	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
104	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
105	instantiation	120, 111, 112	⊢
	: , : , :
106	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
107	instantiation	120, 113, 114	⊢
	: , : , :
108	instantiation	120, 121, 115	⊢
	: , : , :
109	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
110	instantiation	120, 116, 117	⊢
	: , : , :
111	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
112	instantiation	118, 119	⊢
	:
113	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
114	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
115	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
116	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
117	instantiation	120, 121, 122	⊢
	: , : , :
118	theorem		⊢
	proveit.numbers.negation.int_neg_closure
119	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
120	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
121	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
122	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements