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