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, 5, 6	⊢
	: , : , : , :
1	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
2	reference	118	⊢
3	instantiation	7	⊢
	: , :
4	instantiation	7	⊢
	: , :
5	instantiation	8, 9, 10*	⊢
	:
6	instantiation	11, 12	⊢
	:
7	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
8	theorem		⊢
	proveit.numbers.absolute_value.abs_neg_elim
9	instantiation	13, 27, 65, 34, 14, 15*, 16*	⊢
	: , : , :
10	instantiation	17, 21, 55, 18*	⊢
	: , :
11	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
12	instantiation	19, 20	⊢
	: , :
13	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
14	instantiation	105, 59	⊢
	:
15	instantiation	69, 55, 21	⊢
	: , :
16	instantiation	28, 22, 23	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
18	instantiation	24, 25	⊢
	:
19	theorem		⊢
	proveit.numbers.ordering.relax_less
20	instantiation	26, 59	⊢
	:
21	instantiation	119, 83, 27	⊢
	: , : , :
22	instantiation	28, 29, 30	⊢
	: , : , :
23	instantiation	31, 32, 33	⊢
	: , :
24	theorem		⊢
	proveit.numbers.negation.double_negation
25	instantiation	119, 83, 34	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
27	instantiation	119, 98, 35	⊢
	: , : , :
28	axiom		⊢
	proveit.logic.equality.equals_transitivity
29	instantiation	63, 43	⊢
	: , : , :
30	instantiation	63, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
32	instantiation	37, 38, 39	⊢
	: , :
33	instantiation	40	⊢
	:
34	instantiation	119, 98, 41	⊢
	: , : , :
35	instantiation	119, 111, 42	⊢
	: , : , :
36	instantiation	63, 43	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
38	instantiation	44, 55, 45, 46	⊢
	: , :
39	instantiation	119, 83, 47	⊢
	: , : , :
40	axiom		⊢
	proveit.logic.equality.equals_reflexivity
41	instantiation	119, 111, 49	⊢
	: , : , :
42	instantiation	48, 49	⊢
	:
43	instantiation	50, 51, 52, 53	⊢
	: , : , : , :
44	theorem		⊢
	proveit.numbers.division.div_complex_closure
45	instantiation	54, 73, 55	⊢
	: , :
46	instantiation	56, 74, 57	⊢
	: , : , :
47	instantiation	94, 95, 58	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.negation.int_closure
49	instantiation	119, 103, 59	⊢
	: , : , :
50	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
51	instantiation	63, 60	⊢
	: , : , :
52	instantiation	61, 62	⊢
	: , :
53	instantiation	63, 64	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
55	instantiation	119, 83, 65	⊢
	: , : , :
56	theorem		⊢
	proveit.logic.equality.sub_left_side_into
57	instantiation	66, 73	⊢
	:
58	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
59	instantiation	67, 118, 68	⊢
	: , :
60	instantiation	69, 70, 71	⊢
	: , :
61	theorem		⊢
	proveit.logic.equality.equals_reversal
62	instantiation	72, 73, 82, 81, 74	⊢
	: , : , :
63	axiom		⊢
	proveit.logic.equality.substitution
64	instantiation	75, 76, 123	⊢
	: , :
65	instantiation	119, 98, 77	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
67	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
68	instantiation	78, 79, 80	⊢
	:
69	theorem		⊢
	proveit.numbers.addition.commutation
70	instantiation	119, 83, 81	⊢
	: , : , :
71	instantiation	119, 83, 82	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
73	instantiation	119, 83, 84	⊢
	: , : , :
74	instantiation	85, 121	⊢
	:
75	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
76	instantiation	119, 86, 87	⊢
	: , : , :
77	instantiation	119, 111, 88	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
79	instantiation	89, 90, 91	⊢
	: , :
80	instantiation	92, 93	⊢
	: , :
81	instantiation	94, 95, 106	⊢
	: , : , :
82	instantiation	119, 96, 97	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
84	instantiation	119, 98, 99	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
86	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
87	instantiation	119, 100, 101	⊢
	: , : , :
88	instantiation	119, 117, 102	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
90	instantiation	119, 103, 106	⊢
	: , : , :
91	instantiation	119, 104, 116	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
93	instantiation	105, 106	⊢
	:
94	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
95	instantiation	107, 108	⊢
	: , :
96	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
97	instantiation	119, 109, 110	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
99	instantiation	119, 111, 112	⊢
	: , : , :
100	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
101	instantiation	119, 113, 114	⊢
	: , : , :
102	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
103	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
104	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
105	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
106	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
107	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
108	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
109	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
110	instantiation	119, 115, 116	⊢
	: , : , :
111	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
112	instantiation	119, 117, 118	⊢
	: , : , :
113	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
114	instantiation	119, 120, 121	⊢
	: , : , :
115	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
116	instantiation	122, 123	⊢
	:
117	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
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_pos_within_nonzero_int
121	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
122	theorem		⊢
	proveit.numbers.negation.int_neg_closure
123	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
*equality replacement requirements