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