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	reference	12	⊢
2	instantiation	38, 3, 4	⊢
	: , : , :
3	instantiation	12, 5	⊢
	: , : , :
4	instantiation	38, 6, 7	⊢
	: , : , :
5	instantiation	59, 28, 86, 60, 29, 8, 61, 64, 65, 70, 71, 33, 63	⊢
	: , : , : , : , : , :
6	instantiation	38, 9, 10	⊢
	: , : , :
7	instantiation	11, 17	⊢
	:
8	instantiation	72	⊢
	: , :
9	instantiation	12, 13	⊢
	: , : , :
10	instantiation	14, 15, 16, 17, 18*	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.division.frac_one_denom
12	axiom		⊢
	proveit.logic.equality.substitution
13	instantiation	38, 19, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.division.frac_cancel_left
15	instantiation	99, 22, 21	⊢
	: , : , :
16	instantiation	99, 22, 23	⊢
	: , : , :
17	instantiation	47, 24, 25	⊢
	: , : , :
18	instantiation	26, 33	⊢
	:
19	instantiation	27, 60, 28, 101, 61, 29, 64, 65, 70, 71, 33, 63	⊢
	: , : , : , : , : , : , :
20	instantiation	30, 101, 31, 60, 32, 61, 33, 64, 65, 70, 71, 63	⊢
	: , : , : , : , : , :
21	instantiation	99, 35, 34	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
23	instantiation	99, 35, 36	⊢
	: , : , :
24	instantiation	69, 50, 37	⊢
	: , :
25	instantiation	38, 39, 40	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
27	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
29	instantiation	41	⊢
	: , : , : , :
30	theorem		⊢
	proveit.numbers.multiplication.association
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
32	instantiation	42	⊢
	: , : , : , : , :
33	instantiation	99, 76, 43	⊢
	: , : , :
34	instantiation	99, 45, 44	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
36	instantiation	99, 45, 46	⊢
	: , : , :
37	instantiation	47, 48, 49	⊢
	: , : , :
38	axiom		⊢
	proveit.logic.equality.equals_transitivity
39	instantiation	59, 101, 51, 60, 53, 61, 50, 70, 71, 63	⊢
	: , : , : , : , : , :
40	instantiation	59, 60, 86, 51, 61, 52, 53, 64, 65, 70, 71, 63	⊢
	: , : , : , : , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
42	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
43	instantiation	54, 55, 96	⊢
	: , : , :
44	instantiation	99, 56, 96	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
46	instantiation	99, 56, 57	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.equality.sub_right_side_into
48	instantiation	69, 58, 63	⊢
	: , :
49	instantiation	59, 60, 86, 101, 61, 62, 70, 71, 63	⊢
	: , : , : , : , : , :
50	instantiation	69, 64, 65	⊢
	: , :
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
52	instantiation	72	⊢
	: , :
53	instantiation	66	⊢
	: , : , :
54	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
55	instantiation	67, 68	⊢
	: , :
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
57	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
58	instantiation	69, 70, 71	⊢
	: , :
59	theorem		⊢
	proveit.numbers.multiplication.disassociation
60	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
61	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
62	instantiation	72	⊢
	: , :
63	instantiation	99, 76, 73	⊢
	: , : , :
64	instantiation	99, 76, 74	⊢
	: , : , :
65	instantiation	99, 76, 75	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
67	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
69	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
70	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
71	instantiation	99, 76, 77	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
73	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
74	instantiation	99, 81, 78	⊢
	: , : , :
75	instantiation	99, 79, 80	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
77	instantiation	99, 81, 82	⊢
	: , : , :
78	instantiation	99, 84, 83	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
80	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
81	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
82	instantiation	99, 84, 85	⊢
	: , : , :
83	instantiation	99, 100, 86	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
85	instantiation	99, 87, 88	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
87	instantiation	89, 90, 91	⊢
	: , :
88	assumption		⊢
89	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
90	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
91	instantiation	92, 93, 94	⊢
	: , :
92	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
93	instantiation	99, 95, 96	⊢
	: , : , :
94	instantiation	97, 98	⊢
	:
95	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
96	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
97	theorem		⊢
	proveit.numbers.negation.int_closure
98	instantiation	99, 100, 101	⊢
	: , : , :
99	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
100	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
101	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements