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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	6, 16, 7*	⊢
	:
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	8, 9	⊢
	:
6	theorem		⊢
	proveit.numbers.absolute_value.abs_even
7	instantiation	10, 11, 12, 32, 33, 34, 13*, 14*	⊢
	: , :
8	theorem		⊢
	proveit.numbers.addition.elim_zero_left
9	instantiation	15, 16	⊢
	:
10	theorem		⊢
	proveit.numbers.absolute_value.abs_prod
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
12	instantiation	17	⊢
	: , : , :
13	instantiation	19, 18	⊢
	:
14	instantiation	19, 20	⊢
	:
15	theorem		⊢
	proveit.numbers.negation.complex_closure
16	instantiation	21, 22, 23	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
18	instantiation	24, 66	⊢
	:
19	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
20	instantiation	25, 26	⊢
	: , :
21	theorem		⊢
	proveit.logic.equality.sub_right_side_into
22	instantiation	64, 38, 27	⊢
	: , : , :
23	instantiation	28, 29, 66, 63, 30, 31, 32, 33, 34	⊢
	: , : , : , : , : , :
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
25	theorem		⊢
	proveit.numbers.ordering.relax_less
26	instantiation	35, 46	⊢
	:
27	instantiation	40, 36, 39	⊢
	: , :
28	theorem		⊢
	proveit.numbers.multiplication.disassociation
29	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
30	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
31	instantiation	37	⊢
	: , :
32	instantiation	64, 38, 53	⊢
	: , : , :
33	instantiation	64, 38, 41	⊢
	: , : , :
34	instantiation	64, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
36	instantiation	40, 53, 41	⊢
	: , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
39	instantiation	42, 43, 48, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
41	instantiation	64, 45, 46	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
43	instantiation	47, 48	⊢
	:
44	instantiation	49, 50	⊢
	:
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
47	theorem		⊢
	proveit.numbers.negation.real_closure
48	instantiation	51, 52, 53, 54	⊢
	: , :
49	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
50	assumption		⊢
51	theorem		⊢
	proveit.numbers.division.div_real_closure
52	instantiation	64, 56, 55	⊢
	: , : , :
53	instantiation	64, 56, 57	⊢
	: , : , :
54	instantiation	58, 59	⊢
	:
55	instantiation	64, 61, 60	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
57	instantiation	64, 61, 62	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
59	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
60	instantiation	64, 65, 63	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
62	instantiation	64, 65, 66	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
64	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
65	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
66	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements