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*	⊢
	: , :
1	theorem		⊢
	proveit.numbers.division.div_as_mult
2	reference	57	⊢
3	instantiation	6, 53, 19	⊢
	: , :
4	instantiation	7, 114, 8, 36, 9	⊢
	: , :
5	instantiation	15, 10, 11	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
7	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
8	instantiation	42	⊢
	: , :
9	instantiation	12, 19, 21	⊢
	:
10	instantiation	13, 14	⊢
	: , : , :
11	instantiation	15, 16, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
13	axiom		⊢
	proveit.logic.equality.substitution
14	instantiation	18, 53, 19, 39, 20, 21, 22*, 23*	⊢
	: , : , :
15	axiom		⊢
	proveit.logic.equality.equals_transitivity
16	instantiation	24, 104, 114, 26, 28, 27, 57, 29, 30	⊢
	: , : , : , : , : , :
17	instantiation	25, 26, 114, 27, 28, 29, 30	⊢
	: , : , : , :
18	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
19	instantiation	112, 80, 31	⊢
	: , : , :
20	instantiation	55, 95	⊢
	:
21	instantiation	32, 33, 34	⊢
	: , :
22	instantiation	35, 36, 93, 37*	⊢
	: , :
23	instantiation	38, 45, 81, 39, 40, 41*	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.multiplication.disassociation
25	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
26	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	instantiation	42	⊢
	: , :
29	instantiation	112, 80, 43	⊢
	: , : , :
30	instantiation	44, 45, 46	⊢
	: , :
31	instantiation	47, 60, 114	⊢
	: , :
32	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
33	instantiation	112, 76, 48	⊢
	: , : , :
34	instantiation	112, 76, 49	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
36	instantiation	112, 50, 51	⊢
	: , : , :
37	instantiation	52, 53	⊢
	:
38	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
39	instantiation	54, 67	⊢
	:
40	instantiation	55, 62	⊢
	:
41	instantiation	56, 69, 57, 58*	⊢
	: , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
43	instantiation	112, 91, 59	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
45	instantiation	112, 80, 60	⊢
	: , : , :
46	instantiation	112, 80, 61	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
48	instantiation	112, 89, 62	⊢
	: , : , :
49	instantiation	112, 89, 63	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
51	instantiation	112, 64, 65	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
53	instantiation	112, 80, 66	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.negation.real_closure
55	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
56	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
57	instantiation	112, 80, 67	⊢
	: , : , :
58	instantiation	68, 69	⊢
	:
59	instantiation	112, 70, 71	⊢
	: , : , :
60	instantiation	112, 91, 72	⊢
	: , : , :
61	instantiation	112, 91, 73	⊢
	: , : , :
62	instantiation	74, 85, 75	⊢
	:
63	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
65	instantiation	112, 76, 77	⊢
	: , : , :
66	instantiation	112, 91, 78	⊢
	: , : , :
67	instantiation	112, 91, 79	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
69	instantiation	112, 80, 81	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
71	instantiation	82, 83, 84	⊢
	: , :
72	instantiation	112, 100, 85	⊢
	: , : , :
73	instantiation	112, 100, 107	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
75	instantiation	86, 87, 88	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
77	instantiation	112, 89, 95	⊢
	: , : , :
78	instantiation	112, 100, 90	⊢
	: , : , :
79	instantiation	112, 100, 102	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
81	instantiation	112, 91, 92	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
83	instantiation	112, 94, 93	⊢
	: , : , :
84	instantiation	112, 94, 95	⊢
	: , : , :
85	instantiation	112, 96, 98	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
87	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
88	instantiation	97, 102, 103, 98	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
90	instantiation	112, 113, 99	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
92	instantiation	112, 100, 111	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
94	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
95	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
96	instantiation	101, 102, 103	⊢
	: , :
97	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
98	assumption		⊢
99	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
100	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
101	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
102	instantiation	112, 113, 104	⊢
	: , : , :
103	instantiation	105, 106, 107	⊢
	: , :
104	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
105	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
106	instantiation	112, 108, 109	⊢
	: , : , :
107	instantiation	110, 111	⊢
	:
108	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
109	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
110	theorem		⊢
	proveit.numbers.negation.int_closure
111	instantiation	112, 113, 114	⊢
	: , : , :
112	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
113	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
114	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements