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