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