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	9	⊢
2	instantiation	16, 4	⊢
	: , : , :
3	instantiation	9, 5, 6	⊢
	: , : , :
4	instantiation	9, 7, 8	⊢
	: , : , :
5	instantiation	9, 10, 11	⊢
	: , : , :
6	instantiation	12, 21	⊢
	:
7	instantiation	16, 13	⊢
	: , : , :
8	instantiation	14, 39, 15*	⊢
	:
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	16, 17	⊢
	: , : , :
11	instantiation	18, 19, 20, 21, 22*	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.division.frac_one_denom
13	instantiation	23, 24	⊢
	:
14	theorem		⊢
	proveit.numbers.absolute_value.abs_even
15	instantiation	25, 26, 27, 66, 67, 77, 28*, 29*	⊢
	: , :
16	axiom		⊢
	proveit.logic.equality.substitution
17	instantiation	30, 63, 94, 62, 31, 64, 66, 67, 32	⊢
	: , : , : , : , : , :
18	theorem		⊢
	proveit.numbers.division.frac_cancel_left
19	instantiation	92, 34, 33	⊢
	: , : , :
20	instantiation	92, 34, 35	⊢
	: , : , :
21	instantiation	92, 82, 36	⊢
	: , : , :
22	instantiation	37, 66	⊢
	:
23	theorem		⊢
	proveit.numbers.addition.elim_zero_left
24	instantiation	38, 39	⊢
	:
25	theorem		⊢
	proveit.numbers.absolute_value.abs_prod
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
27	instantiation	40	⊢
	: , : , :
28	instantiation	42, 41	⊢
	:
29	instantiation	42, 43	⊢
	:
30	theorem		⊢
	proveit.numbers.multiplication.association
31	instantiation	75	⊢
	: , :
32	instantiation	92, 82, 44	⊢
	: , : , :
33	instantiation	92, 46, 45	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
35	instantiation	92, 46, 47	⊢
	: , : , :
36	instantiation	92, 86, 48	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
38	theorem		⊢
	proveit.numbers.negation.complex_closure
39	instantiation	49, 50, 51	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
41	instantiation	52, 94	⊢
	:
42	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
43	instantiation	53, 54	⊢
	: , :
44	instantiation	92, 86, 59	⊢
	: , : , :
45	instantiation	92, 56, 55	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
47	instantiation	92, 56, 57	⊢
	: , : , :
48	instantiation	58, 87, 59	⊢
	: , :
49	theorem		⊢
	proveit.logic.equality.sub_right_side_into
50	instantiation	92, 82, 60	⊢
	: , : , :
51	instantiation	61, 62, 94, 63, 64, 65, 66, 67, 77	⊢
	: , : , : , : , : , :
52	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
53	theorem		⊢
	proveit.numbers.ordering.relax_less
54	instantiation	68, 87	⊢
	:
55	instantiation	92, 70, 69	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
57	instantiation	92, 70, 71	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
59	instantiation	72, 73	⊢
	:
60	instantiation	79, 74, 83	⊢
	: , :
61	theorem		⊢
	proveit.numbers.multiplication.disassociation
62	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
64	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
65	instantiation	75	⊢
	: , :
66	instantiation	92, 82, 80	⊢
	: , : , :
67	instantiation	92, 82, 81	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
69	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
70	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
71	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
72	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
73	instantiation	76, 77, 78	⊢
	:
74	instantiation	79, 80, 81	⊢
	: , :
75	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
76	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
77	instantiation	92, 82, 83	⊢
	: , : , :
78	assumption		⊢
79	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
80	instantiation	92, 84, 85	⊢
	: , : , :
81	instantiation	92, 86, 87	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
83	instantiation	88, 89	⊢
	:
84	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
85	instantiation	92, 90, 91	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
87	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
88	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
89	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
90	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
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.nat2
*equality replacement requirements