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, 4, 5, 6, 7*, 8*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.multiplication.weak_bound_via_right_factor_bound
2	reference	31	⊢
3	instantiation	9, 35, 30	⊢
	: , :
4	reference	51	⊢
5	instantiation	10, 11, 12	⊢
	: , : , :
6	instantiation	46, 13	⊢
	: , :
7	instantiation	14, 75, 78, 15, 16, 17, 20, 27, 18	⊢
	: , : , : , : , : , :
8	instantiation	19, 20, 21	⊢
	: , :
9	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
10	theorem		⊢
	proveit.logic.equality.sub_right_side_into
11	instantiation	22, 23, 24	⊢
	: , :
12	instantiation	25, 69, 26, 27, 57, 28*	⊢
	: , :
13	instantiation	29, 40	⊢
	:
14	theorem		⊢
	proveit.numbers.multiplication.disassociation
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	instantiation	34	⊢
	: , :
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	76, 63, 30	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.multiplication.commutation
20	instantiation	76, 63, 31	⊢
	: , : , :
21	instantiation	76, 63, 51	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.absolute_value.weak_upper_bound
23	instantiation	32, 42, 51, 43	⊢
	: , : , :
24	instantiation	46, 33	⊢
	: , :
25	theorem		⊢
	proveit.numbers.absolute_value.abs_prod
26	instantiation	34	⊢
	: , :
27	instantiation	76, 63, 35	⊢
	: , : , :
28	instantiation	36, 37	⊢
	:
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
30	instantiation	76, 39, 38	⊢
	: , : , :
31	instantiation	76, 39, 40	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
33	instantiation	41, 42, 51, 43	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
35	instantiation	44, 45, 55	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
37	instantiation	46, 47	⊢
	: , :
38	instantiation	48, 49	⊢
	:
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
42	instantiation	50, 51	⊢
	:
43	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_round_in_interval
44	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
45	instantiation	52, 53	⊢
	: , :
46	theorem		⊢
	proveit.numbers.ordering.relax_less
47	instantiation	54, 55	⊢
	:
48	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
49	instantiation	56, 57, 58	⊢
	:
50	theorem		⊢
	proveit.numbers.negation.real_closure
51	instantiation	59, 60, 61, 62	⊢
	: , :
52	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
54	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
55	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
56	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
57	instantiation	76, 63, 64	⊢
	: , : , :
58	assumption		⊢
59	theorem		⊢
	proveit.numbers.division.div_real_closure
60	instantiation	76, 66, 65	⊢
	: , : , :
61	instantiation	76, 66, 67	⊢
	: , : , :
62	instantiation	68, 69	⊢
	:
63	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
64	instantiation	70, 71	⊢
	:
65	instantiation	76, 73, 72	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
67	instantiation	76, 73, 74	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
69	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
70	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
71	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
72	instantiation	76, 77, 75	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
74	instantiation	76, 77, 78	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
76	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
77	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements