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