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, 33, 5, 25, 6, 7*	,  ⊢
	: , : , :
3	instantiation	8, 9, 10	,  ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.weak_bound_via_right_term_bound
5	instantiation	22, 13	⊢
	:
6	instantiation	11, 12, 25, 13, 14, 15, 16*, 17*	⊢
	: , : , :
7	instantiation	18, 19	,  ⊢
	:
8	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
9	instantiation	20, 74, 75, 64	,  ⊢
	: , : , :
10	instantiation	35, 21	⊢
	:
11	theorem		⊢
	proveit.numbers.multiplication.reversed_weak_bound_via_right_factor_bound
12	instantiation	22, 57	⊢
	:
13	instantiation	23, 25, 57, 26	⊢
	: , : , :
14	instantiation	24, 25, 57, 26	⊢
	: , : , :
15	instantiation	27, 28	⊢
	: , :
16	instantiation	29, 30, 31	⊢
	: , : , :
17	instantiation	32, 38	⊢
	:
18	theorem		⊢
	proveit.numbers.addition.elim_zero_right
19	instantiation	101, 70, 33	,  ⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
21	instantiation	44, 34	⊢
	:
22	theorem		⊢
	proveit.numbers.negation.real_closure
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
26	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
27	theorem		⊢
	proveit.numbers.ordering.relax_less
28	instantiation	35, 36	⊢
	:
29	axiom		⊢
	proveit.logic.equality.equals_transitivity
30	instantiation	37, 93, 103, 49, 51, 50, 38, 52, 53	⊢
	: , : , : , : , : , :
31	instantiation	39, 49, 103, 50, 51, 47, 52, 53, 40*	⊢
	: , : , : , : , :
32	theorem		⊢
	proveit.numbers.multiplication.mult_zero_right
33	instantiation	101, 77, 41	,  ⊢
	: , : , :
34	instantiation	42, 43, 45	⊢
	: , :
35	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
36	instantiation	44, 45	⊢
	:
37	theorem		⊢
	proveit.numbers.multiplication.disassociation
38	instantiation	46, 47	⊢
	:
39	theorem		⊢
	proveit.numbers.multiplication.mult_neg_any
40	instantiation	48, 49, 103, 50, 51, 52, 53	⊢
	: , : , : , :
41	instantiation	101, 84, 54	,  ⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
43	instantiation	55, 87, 56	⊢
	:
44	theorem		⊢
	proveit.numbers.negation.int_neg_closure
45	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
46	theorem		⊢
	proveit.numbers.negation.complex_closure
47	instantiation	101, 70, 57	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
49	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
50	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
51	instantiation	58	⊢
	: , :
52	instantiation	59, 60, 61	⊢
	: , :
53	instantiation	101, 70, 62	⊢
	: , : , :
54	instantiation	101, 63, 64	,  ⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
56	instantiation	65, 66, 67	⊢
	: , : , :
57	instantiation	101, 77, 68	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
59	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
60	instantiation	101, 70, 69	⊢
	: , : , :
61	instantiation	101, 70, 71	⊢
	: , : , :
62	instantiation	72, 73	⊢
	:
63	instantiation	90, 74, 75	⊢
	: , :
64	assumption		⊢
65	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
66	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
67	instantiation	76, 91, 92, 89	⊢
	: , : , :
68	instantiation	101, 84, 91	⊢
	: , : , :
69	instantiation	101, 77, 78	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
71	instantiation	79, 80, 81	⊢
	: , : , :
72	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
73	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
74	instantiation	94, 82, 91	⊢
	: , :
75	instantiation	99, 83	⊢
	:
76	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
77	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
78	instantiation	101, 84, 100	⊢
	: , : , :
79	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
80	instantiation	85, 86	⊢
	: , :
81	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
82	instantiation	99, 95	⊢
	:
83	instantiation	94, 87, 91	⊢
	: , :
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
85	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
86	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
87	instantiation	101, 88, 89	⊢
	: , : , :
88	instantiation	90, 91, 92	⊢
	: , :
89	assumption		⊢
90	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
91	instantiation	101, 102, 93	⊢
	: , : , :
92	instantiation	94, 95, 96	⊢
	: , :
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
94	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
95	instantiation	101, 97, 98	⊢
	: , : , :
96	instantiation	99, 100	⊢
	:
97	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
98	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
99	theorem		⊢
	proveit.numbers.negation.int_closure
100	instantiation	101, 102, 103	⊢
	: , : , :
101	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
102	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
103	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements