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, 29, 5, 39, 6, 7, 8*	⊢
	: , : , :
3	instantiation	9, 10, 22, 11, 45, 12*	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.multiplication.weak_bound_via_right_factor_bound
5	instantiation	55, 13, 14	⊢
	: , : , :
6	instantiation	15, 16, 17	⊢
	: , :
7	instantiation	26, 18	⊢
	: , :
8	instantiation	19, 22, 20	⊢
	: , :
9	theorem		⊢
	proveit.numbers.division.mult_frac_left
10	instantiation	55, 30, 43	⊢
	: , : , :
11	instantiation	55, 30, 44	⊢
	: , : , :
12	instantiation	21, 22	⊢
	:
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
14	instantiation	23, 24	⊢
	:
15	theorem		⊢
	proveit.numbers.absolute_value.weak_upper_bound
16	instantiation	25, 36, 39, 37	⊢
	: , : , :
17	instantiation	26, 27	⊢
	: , :
18	instantiation	28, 34	⊢
	:
19	theorem		⊢
	proveit.numbers.multiplication.commutation
20	instantiation	55, 30, 39	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
22	instantiation	55, 30, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
24	instantiation	55, 30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
26	theorem		⊢
	proveit.numbers.ordering.relax_less
27	instantiation	32, 36, 39, 37	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
29	instantiation	55, 33, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	35, 36, 39, 37	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
36	instantiation	38, 39	⊢
	:
37	instantiation	40, 41	⊢
	:
38	theorem		⊢
	proveit.numbers.negation.real_closure
39	instantiation	42, 43, 44, 45	⊢
	: , :
40	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
41	assumption		⊢
42	theorem		⊢
	proveit.numbers.division.div_real_closure
43	instantiation	55, 47, 46	⊢
	: , : , :
44	instantiation	55, 47, 48	⊢
	: , : , :
45	instantiation	49, 50	⊢
	:
46	instantiation	55, 52, 51	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
48	instantiation	55, 52, 53	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
50	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
51	instantiation	55, 56, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
53	instantiation	55, 56, 57	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
55	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements