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