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