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