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	theorem		⊢
	proveit.numbers.absolute_value.abs_even
2	instantiation	4, 5, 6	⊢
	: , : , :
3	instantiation	7, 8, 9, 35, 36, 72, 38, 10*	⊢
	: , :
4	theorem		⊢
	proveit.logic.equality.sub_right_side_into
5	instantiation	76, 77, 11	⊢
	: , : , :
6	instantiation	15, 12, 13	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.absolute_value.abs_prod
8	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
9	instantiation	14	⊢
	: , : , : , :
10	instantiation	15, 16, 17	⊢
	: , : , :
11	instantiation	48, 39, 18	⊢
	: , :
12	instantiation	21, 19, 75, 31, 23, 33, 20, 72, 38	⊢
	: , : , : , : , : , :
13	instantiation	21, 31, 75, 33, 22, 23, 35, 36, 72, 38	⊢
	: , : , : , : , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
15	axiom		⊢
	proveit.logic.equality.equals_transitivity
16	instantiation	24, 32, 25, 26, 27, 28, 29	⊢
	: , : , : , :
17	instantiation	30, 31, 32, 33, 34, 35, 36, 37, 38	⊢
	: , : , : , : , : , : , :
18	instantiation	48, 78, 47	⊢
	: , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
20	instantiation	76, 77, 39	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.multiplication.disassociation
22	instantiation	40	⊢
	: , :
23	instantiation	40	⊢
	: , :
24	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
25	instantiation	45	⊢
	: , : , :
26	instantiation	45	⊢
	: , : , :
27	instantiation	43, 41	⊢
	:
28	instantiation	43, 42	⊢
	:
29	instantiation	43, 44	⊢
	:
30	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
31	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
33	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
34	instantiation	45	⊢
	: , : , :
35	instantiation	76, 77, 49	⊢
	: , : , :
36	instantiation	76, 77, 50	⊢
	: , : , :
37	instantiation	76, 77, 46	⊢
	: , : , :
38	instantiation	76, 77, 47	⊢
	: , : , :
39	instantiation	48, 49, 50	⊢
	: , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
41	instantiation	51, 75	⊢
	:
42	instantiation	53, 52	⊢
	: , :
43	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
44	instantiation	53, 54	⊢
	: , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
46	instantiation	76, 60, 55	⊢
	: , : , :
47	instantiation	56, 57, 64	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
49	instantiation	76, 58, 59	⊢
	: , : , :
50	instantiation	76, 60, 62	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
52	instantiation	61, 62	⊢
	:
53	theorem		⊢
	proveit.numbers.ordering.relax_less
54	instantiation	63, 64	⊢
	:
55	instantiation	65, 66	⊢
	:
56	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
57	instantiation	67, 68	⊢
	: , :
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
59	instantiation	76, 69, 70	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
62	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
63	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
64	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
65	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
66	instantiation	71, 72, 73	⊢
	:
67	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
69	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
70	instantiation	76, 74, 75	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
72	instantiation	76, 77, 78	⊢
	: , : , :
73	assumption		⊢
74	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
76	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
77	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
78	instantiation	79, 80	⊢
	:
79	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
80	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
*equality replacement requirements