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.logic.equality.sub_right_side_into
2	instantiation	4, 5, 6	⊢
	: , :
3	instantiation	7, 43, 8, 9, 10, 11*	⊢
	: , :
4	theorem		⊢
	proveit.numbers.absolute_value.weak_upper_bound
5	instantiation	12, 21, 30, 22	⊢
	: , : , :
6	instantiation	27, 13	⊢
	: , :
7	theorem		⊢
	proveit.numbers.absolute_value.abs_prod
8	instantiation	14	⊢
	: , :
9	instantiation	48, 16, 15	⊢
	: , : , :
10	instantiation	48, 16, 17	⊢
	: , : , :
11	instantiation	18, 19	⊢
	:
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
13	instantiation	20, 21, 30, 22	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	23, 24, 34	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	25, 26	⊢
	:
18	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
19	instantiation	27, 28	⊢
	: , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
21	instantiation	29, 30	⊢
	:
22	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_round_in_interval
23	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
24	instantiation	31, 32	⊢
	: , :
25	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
26	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
27	theorem		⊢
	proveit.numbers.ordering.relax_less
28	instantiation	33, 34	⊢
	:
29	theorem		⊢
	proveit.numbers.negation.real_closure
30	instantiation	35, 36, 37, 38	⊢
	: , :
31	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
33	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
34	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
35	theorem		⊢
	proveit.numbers.division.div_real_closure
36	instantiation	48, 40, 39	⊢
	: , : , :
37	instantiation	48, 40, 41	⊢
	: , : , :
38	instantiation	42, 43	⊢
	:
39	instantiation	48, 45, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
41	instantiation	48, 45, 46	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
43	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
44	instantiation	48, 49, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
46	instantiation	48, 49, 50	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements