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	16	⊢
2	instantiation	16, 4, 5	⊢
	: , : , :
3	instantiation	16, 6, 7	⊢
	: , : , :
4	instantiation	49, 8	⊢
	: , : , :
5	instantiation	49, 9	⊢
	: , : , :
6	instantiation	16, 10, 11	⊢
	: , : , :
7	instantiation	12, 28, 118, 110, 30, 13, 34, 78, 43, 14*	⊢
	: , : , : , : , : , :
8	instantiation	49, 25	⊢
	: , : , :
9	instantiation	49, 15	⊢
	: , : , :
10	instantiation	16, 17, 18	⊢
	: , : , :
11	instantiation	19, 28, 110, 118, 30, 20, 52, 34, 78, 43, 21	⊢
	: , : , : , : , : , : , : , :
12	theorem		⊢
	proveit.numbers.addition.association
13	instantiation	44	⊢
	: , :
14	instantiation	22, 23, 24	⊢
	: , : , :
15	instantiation	49, 25	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	27, 28, 118, 110, 30, 29, 52, 34, 26	⊢
	: , : , : , : , : , :
18	instantiation	27, 118, 40, 28, 29, 41, 30, 52, 34, 42, 78, 43	⊢
	: , : , : , : , : , :
19	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
20	instantiation	44	⊢
	: , :
21	instantiation	31	⊢
	:
22	theorem		⊢
	proveit.logic.equality.sub_right_side_into
23	instantiation	32, 78, 89, 33	⊢
	: , : , :
24	instantiation	55, 78, 34	⊢
	: , :
25	instantiation	35, 36, 37, 38	⊢
	: , : , : , :
26	instantiation	39, 40, 41, 42, 78, 43	⊢
	: , :
27	theorem		⊢
	proveit.numbers.addition.disassociation
28	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
29	instantiation	44	⊢
	: , :
30	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
31	axiom		⊢
	proveit.logic.equality.equals_reflexivity
32	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
33	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
34	instantiation	116, 98, 45	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
36	instantiation	49, 46	⊢
	: , : , :
37	instantiation	47, 48	⊢
	: , :
38	instantiation	49, 50	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.addition.add_complex_closure
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
41	instantiation	51	⊢
	: , : , :
42	instantiation	66, 52	⊢
	:
43	instantiation	66, 53	⊢
	:
44	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
45	instantiation	116, 105, 54	⊢
	: , : , :
46	instantiation	55, 73, 56	⊢
	: , :
47	theorem		⊢
	proveit.logic.equality.equals_reversal
48	instantiation	57, 89, 58, 82, 80	⊢
	: , : , :
49	axiom		⊢
	proveit.logic.equality.substitution
50	instantiation	59, 60, 61	⊢
	: , :
51	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
52	instantiation	62, 63, 64	⊢
	: , :
53	instantiation	116, 98, 65	⊢
	: , : , :
54	instantiation	116, 111, 109	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.addition.commutation
56	instantiation	66, 78	⊢
	:
57	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
58	instantiation	67, 86	⊢
	:
59	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
60	instantiation	116, 68, 69	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
62	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
63	instantiation	70, 78, 71, 72	⊢
	: , :
64	instantiation	77, 89, 73	⊢
	: , :
65	instantiation	116, 105, 74	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.negation.complex_closure
67	theorem		⊢
	proveit.numbers.negation.real_closure
68	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
69	instantiation	116, 75, 76	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.division.div_complex_closure
71	instantiation	77, 89, 78	⊢
	: , :
72	instantiation	79, 80, 81	⊢
	: , : , :
73	instantiation	116, 98, 82	⊢
	: , : , :
74	instantiation	116, 111, 83	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
76	instantiation	116, 84, 85	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
78	instantiation	116, 98, 86	⊢
	: , : , :
79	theorem		⊢
	proveit.logic.equality.sub_left_side_into
80	instantiation	87, 96	⊢
	:
81	instantiation	88, 89	⊢
	:
82	instantiation	90, 91, 92	⊢
	: , : , :
83	instantiation	116, 93, 94	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
85	instantiation	116, 95, 96	⊢
	: , : , :
86	instantiation	116, 105, 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	116, 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	instantiation	102, 104, 103	⊢
	: , :
94	assumption		⊢
95	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
96	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
97	instantiation	116, 111, 104	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
99	instantiation	116, 105, 106	⊢
	: , : , :
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.integers.int_interval_within_int
103	instantiation	107, 108, 109	⊢
	: , :
104	instantiation	116, 117, 110	⊢
	: , : , :
105	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
106	instantiation	116, 111, 115	⊢
	: , : , :
107	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
108	instantiation	116, 112, 113	⊢
	: , : , :
109	instantiation	114, 115	⊢
	:
110	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
111	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
112	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
113	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
114	theorem		⊢
	proveit.numbers.negation.int_closure
115	instantiation	116, 117, 118	⊢
	: , : , :
116	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
117	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
118	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements