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	13	⊢
2	instantiation	13, 3	⊢
	: , : , :
3	instantiation	39, 4, 5	⊢
	: , : , :
4	instantiation	13, 6	⊢
	: , : , :
5	instantiation	39, 7, 8	⊢
	: , : , :
6	instantiation	60, 29, 87, 61, 30, 9, 62, 65, 66, 71, 72, 34, 64	⊢
	: , : , : , : , : , :
7	instantiation	39, 10, 11	⊢
	: , : , :
8	instantiation	12, 18	⊢
	:
9	instantiation	73	⊢
	: , :
10	instantiation	13, 14	⊢
	: , : , :
11	instantiation	15, 16, 17, 18, 19*	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.division.frac_one_denom
13	axiom		⊢
	proveit.logic.equality.substitution
14	instantiation	39, 20, 21	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.division.frac_cancel_left
16	instantiation	100, 23, 22	⊢
	: , : , :
17	instantiation	100, 23, 24	⊢
	: , : , :
18	instantiation	48, 25, 26	⊢
	: , : , :
19	instantiation	27, 34	⊢
	:
20	instantiation	28, 61, 29, 102, 62, 30, 65, 66, 71, 72, 34, 64	⊢
	: , : , : , : , : , : , :
21	instantiation	31, 102, 32, 61, 33, 62, 34, 65, 66, 71, 72, 64	⊢
	: , : , : , : , : , :
22	instantiation	100, 36, 35	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
24	instantiation	100, 36, 37	⊢
	: , : , :
25	instantiation	70, 51, 38	⊢
	: , :
26	instantiation	39, 40, 41	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
28	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
30	instantiation	42	⊢
	: , : , : , :
31	theorem		⊢
	proveit.numbers.multiplication.association
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
33	instantiation	43	⊢
	: , : , : , : , :
34	instantiation	100, 77, 44	⊢
	: , : , :
35	instantiation	100, 46, 45	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
37	instantiation	100, 46, 47	⊢
	: , : , :
38	instantiation	48, 49, 50	⊢
	: , : , :
39	axiom		⊢
	proveit.logic.equality.equals_transitivity
40	instantiation	60, 102, 52, 61, 54, 62, 51, 71, 72, 64	⊢
	: , : , : , : , : , :
41	instantiation	60, 61, 87, 52, 62, 53, 54, 65, 66, 71, 72, 64	⊢
	: , : , : , : , : , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
43	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
44	instantiation	55, 56, 97	⊢
	: , : , :
45	instantiation	100, 57, 97	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
47	instantiation	100, 57, 58	⊢
	: , : , :
48	theorem		⊢
	proveit.logic.equality.sub_right_side_into
49	instantiation	70, 59, 64	⊢
	: , :
50	instantiation	60, 61, 87, 102, 62, 63, 71, 72, 64	⊢
	: , : , : , : , : , :
51	instantiation	70, 65, 66	⊢
	: , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
53	instantiation	73	⊢
	: , :
54	instantiation	67	⊢
	: , : , :
55	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
56	instantiation	68, 69	⊢
	: , :
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
58	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
59	instantiation	70, 71, 72	⊢
	: , :
60	theorem		⊢
	proveit.numbers.multiplication.disassociation
61	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
62	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
63	instantiation	73	⊢
	: , :
64	instantiation	100, 77, 74	⊢
	: , : , :
65	instantiation	100, 77, 75	⊢
	: , : , :
66	instantiation	100, 77, 76	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
68	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
70	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
71	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
72	instantiation	100, 77, 78	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
74	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
75	instantiation	100, 82, 79	⊢
	: , : , :
76	instantiation	100, 80, 81	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
78	instantiation	100, 82, 83	⊢
	: , : , :
79	instantiation	100, 85, 84	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
81	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
82	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
83	instantiation	100, 85, 86	⊢
	: , : , :
84	instantiation	100, 101, 87	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
86	instantiation	100, 88, 89	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
88	instantiation	90, 91, 92	⊢
	: , :
89	assumption		⊢
90	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
91	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
92	instantiation	93, 94, 95	⊢
	: , :
93	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
94	instantiation	100, 96, 97	⊢
	: , : , :
95	instantiation	98, 99	⊢
	:
96	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
97	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
98	theorem		⊢
	proveit.numbers.negation.int_closure
99	instantiation	100, 101, 102	⊢
	: , : , :
100	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
101	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
102	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements