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.booleans.conjunction.and_if_both
2	instantiation	4, 56, 5, 6, 7*, 8*	⊢
	: , : , :
3	instantiation	9, 10, 11	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
5	instantiation	12, 48, 67	⊢
	: , :
6	instantiation	13, 56, 48, 67, 14, 15	⊢
	: , : , :
7	instantiation	23, 16, 17, 18	⊢
	: , : , : , :
8	instantiation	70, 19, 20	⊢
	: , : , :
9	theorem		⊢
	proveit.logic.equality.sub_right_side_into
10	instantiation	21, 48, 67, 22, 28	⊢
	: , : , :
11	instantiation	23, 30, 24, 25	⊢
	: , : , : , :
12	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
13	theorem		⊢
	proveit.numbers.ordering.less_add_right
14	instantiation	26, 56, 67, 57	⊢
	: , : , :
15	instantiation	27, 28	⊢
	: , :
16	instantiation	29, 38, 54, 30	⊢
	: , : , :
17	instantiation	49	⊢
	:
18	instantiation	42, 31	⊢
	: , :
19	instantiation	32, 33, 108, 92, 34, 35, 39, 38, 36	⊢
	: , : , : , : , : , :
20	instantiation	37, 38, 39, 40	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right_strong
22	instantiation	41, 56, 67, 57	⊢
	: , : , :
23	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
24	instantiation	49	⊢
	:
25	instantiation	42, 43	⊢
	: , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
27	theorem		⊢
	proveit.numbers.ordering.relax_less
28	instantiation	44, 86	⊢
	:
29	theorem		⊢
	proveit.numbers.addition.subtraction.negated_add
30	instantiation	45, 84, 105, 46*	⊢
	: , : , : , :
31	instantiation	50, 47	⊢
	:
32	theorem		⊢
	proveit.numbers.addition.disassociation
33	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
34	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
35	instantiation	87	⊢
	: , :
36	instantiation	106, 96, 56	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
38	instantiation	106, 96, 67	⊢
	: , : , :
39	instantiation	106, 96, 48	⊢
	: , : , :
40	instantiation	49	⊢
	:
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_upper_bound
42	theorem		⊢
	proveit.logic.equality.equals_reversal
43	instantiation	50, 54	⊢
	:
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.positive_if_in_rational_pos
45	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
46	instantiation	70, 51, 52	⊢
	: , : , :
47	instantiation	53, 54	⊢
	:
48	instantiation	55, 56, 67, 57	⊢
	: , : , :
49	axiom		⊢
	proveit.logic.equality.equals_reflexivity
50	theorem		⊢
	proveit.numbers.addition.elim_zero_left
51	instantiation	78, 108, 58, 59, 60, 61	⊢
	: , : , : , :
52	instantiation	62, 63, 64	⊢
	:
53	theorem		⊢
	proveit.numbers.negation.complex_closure
54	instantiation	106, 96, 65	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
56	instantiation	66, 67	⊢
	:
57	instantiation	68, 69	⊢
	:
58	instantiation	87	⊢
	: , :
59	instantiation	87	⊢
	: , :
60	instantiation	70, 71, 72	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
62	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
63	instantiation	106, 96, 73	⊢
	: , : , :
64	instantiation	74, 75	⊢
	:
65	instantiation	106, 102, 76	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.negation.real_closure
67	instantiation	106, 102, 77	⊢
	: , : , :
68	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_in_interval
69	assumption		⊢
70	axiom		⊢
	proveit.logic.equality.equals_transitivity
71	instantiation	78, 108, 79, 80, 81, 82	⊢
	: , : , : , :
72	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
73	instantiation	106, 102, 83	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
75	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
76	instantiation	106, 104, 84	⊢
	: , : , :
77	instantiation	106, 85, 86	⊢
	: , : , :
78	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
79	instantiation	87	⊢
	: , :
80	instantiation	87	⊢
	: , :
81	instantiation	88, 90	⊢
	:
82	instantiation	89, 90	⊢
	:
83	instantiation	106, 104, 91	⊢
	: , : , :
84	instantiation	106, 107, 92	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
86	instantiation	93, 94, 95	⊢
	: , :
87	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
88	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
89	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
90	instantiation	106, 96, 97	⊢
	: , : , :
91	instantiation	106, 107, 98	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
93	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
94	instantiation	106, 100, 99	⊢
	: , : , :
95	instantiation	106, 100, 101	⊢
	: , : , :
96	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
97	instantiation	106, 102, 103	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
99	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
100	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
101	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
102	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
103	instantiation	106, 104, 105	⊢
	: , : , :
104	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
105	instantiation	106, 107, 108	⊢
	: , : , :
106	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
107	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
108	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements