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	70	⊢
2	instantiation	70, 4, 5	⊢
	: , : , :
3	instantiation	70, 6, 7	⊢
	: , : , :
4	instantiation	9, 17, 18, 90, 19, 12, 86, 31, 23, 8	⊢
	: , : , : , : , : , :
5	instantiation	9, 18, 97, 17, 12, 10, 19, 86, 31, 23, 22, 24	⊢
	: , : , : , : , : , :
6	instantiation	11, 17, 18, 90, 19, 12, 86, 31, 23, 22, 24	⊢
	: , : , : , : , : , : , :
7	instantiation	70, 13, 14	⊢
	: , : , :
8	instantiation	15, 22, 24	⊢
	: , :
9	theorem		⊢
	proveit.numbers.multiplication.disassociation
10	instantiation	26	⊢
	: , :
11	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
12	instantiation	27	⊢
	: , : , :
13	instantiation	16, 17, 97, 18, 19, 20, 21, 22, 86, 31, 23, 24	⊢
	: , : , : , : , : , :
14	instantiation	78, 25	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
16	theorem		⊢
	proveit.numbers.multiplication.association
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
19	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
20	instantiation	26	⊢
	: , :
21	instantiation	27	⊢
	: , : , :
22	instantiation	95, 88, 28	⊢
	: , : , :
23	instantiation	95, 88, 29	⊢
	: , : , :
24	instantiation	30, 31, 32	⊢
	: , :
25	instantiation	41, 33, 34	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
28	instantiation	35, 73, 89, 36	⊢
	: , :
29	instantiation	37, 38	⊢
	:
30	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
31	instantiation	95, 88, 39	⊢
	: , : , :
32	instantiation	95, 88, 40	⊢
	: , : , :
33	instantiation	41, 42, 43	⊢
	: , : , :
34	instantiation	44, 45, 46, 47	⊢
	: , : , : , :
35	theorem		⊢
	proveit.numbers.division.div_real_closure
36	instantiation	48, 84	⊢
	:
37	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
38	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
39	instantiation	95, 49, 50	⊢
	: , : , :
40	instantiation	95, 91, 51	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.equality.sub_right_side_into
42	instantiation	52, 64, 53, 54	⊢
	: , : , : , : , :
43	instantiation	70, 55, 56	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
45	instantiation	78, 57	⊢
	: , : , :
46	instantiation	78, 57	⊢
	: , : , :
47	instantiation	85, 64	⊢
	:
48	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
51	instantiation	95, 93, 58	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_denom_left
53	instantiation	95, 60, 59	⊢
	: , : , :
54	instantiation	95, 60, 61	⊢
	: , : , :
55	instantiation	78, 62	⊢
	: , : , :
56	instantiation	78, 63	⊢
	: , : , :
57	instantiation	80, 64	⊢
	:
58	instantiation	65, 87	⊢
	:
59	instantiation	95, 67, 66	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
61	instantiation	95, 67, 68	⊢
	: , : , :
62	instantiation	78, 69	⊢
	: , : , :
63	instantiation	70, 71, 72	⊢
	: , : , :
64	instantiation	95, 88, 73	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.negation.int_closure
66	instantiation	95, 75, 74	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
68	instantiation	95, 75, 76	⊢
	: , : , :
69	instantiation	77, 86	⊢
	:
70	axiom		⊢
	proveit.logic.equality.equals_transitivity
71	instantiation	78, 79	⊢
	: , : , :
72	instantiation	80, 86	⊢
	:
73	instantiation	95, 91, 81	⊢
	: , : , :
74	instantiation	95, 83, 82	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
76	instantiation	95, 83, 84	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
78	axiom		⊢
	proveit.logic.equality.substitution
79	instantiation	85, 86	⊢
	:
80	theorem		⊢
	proveit.numbers.division.frac_one_denom
81	instantiation	95, 93, 87	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
83	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
84	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
85	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
86	instantiation	95, 88, 89	⊢
	: , : , :
87	instantiation	95, 96, 90	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
89	instantiation	95, 91, 92	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
91	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
92	instantiation	95, 93, 94	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
94	instantiation	95, 96, 97	⊢
	: , : , :
95	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
96	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
97	theorem		⊢
	proveit.numbers.numerals.decimals.nat2