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, 30, 12, 13, 14, 15*, 16*	,  ⊢
	: , : , : , :
9	instantiation	17, 46, 18, 94, 47, 19, 58, 59, 50, 30, 51	,  ⊢
	: , : , : , : , : , : , :
10	instantiation	20, 94, 21, 46, 22, 47, 30, 58, 59, 50, 51	,  ⊢
	: , : , : , : , : , :
11	theorem		⊢
	proveit.numbers.division.prod_of_fracs
12	instantiation	23, 24, 25	⊢
	: , : , :
13	instantiation	92, 27, 26	⊢
	: , : , :
14	instantiation	92, 27, 28	⊢
	: , : , :
15	instantiation	29, 30	⊢
	:
16	instantiation	31, 32	⊢
	:
17	theorem		⊢
	proveit.numbers.multiplication.leftward_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	92, 40, 39	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
28	instantiation	92, 40, 41	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.division.frac_one_denom
30	instantiation	92, 66, 42	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
32	instantiation	92, 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, 94, 79, 46, 49, 47, 44, 50, 51	⊢
	: , : , : , : , : , :
38	instantiation	45, 46, 79, 47, 48, 49, 58, 59, 50, 51	⊢
	: , : , : , : , : , :
39	instantiation	92, 53, 52	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
41	instantiation	92, 53, 54	⊢
	: , : , :
42	instantiation	92, 70, 55	⊢
	: , : , :
43	instantiation	92, 70, 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	92, 66, 61	⊢
	: , : , :
52	instantiation	92, 63, 62	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
54	instantiation	92, 63, 89	⊢
	: , : , :
55	instantiation	92, 75, 64	⊢
	: , : , :
56	instantiation	92, 75, 86	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
58	instantiation	92, 66, 65	⊢
	: , : , :
59	instantiation	92, 66, 67	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
61	instantiation	92, 70, 68	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
63	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
64	instantiation	92, 77, 69	⊢
	: , : , :
65	instantiation	92, 70, 71	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
67	instantiation	92, 72, 73	⊢
	: , : , :
68	instantiation	92, 75, 74	⊢
	: , : , :
69	assumption		⊢
70	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
71	instantiation	92, 75, 76	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
73	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
74	instantiation	92, 77, 78	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
76	instantiation	92, 93, 79	⊢
	: , : , :
77	instantiation	80, 81, 82	⊢
	: , :
78	instantiation	83, 84, 89	⊢
	: , :
79	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
80	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
81	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
82	instantiation	85, 86, 87	⊢
	: , :
83	theorem		⊢
	proveit.numbers.modular.mod_natpos_in_interval
84	assumption		⊢
85	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
86	instantiation	92, 88, 89	⊢
	: , : , :
87	instantiation	90, 91	⊢
	:
88	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
89	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
90	theorem		⊢
	proveit.numbers.negation.int_closure
91	instantiation	92, 93, 94	⊢
	: , : , :
92	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
93	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
94	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements