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, 5	,  ⊢
	: , :
3	instantiation	6, 7, 14, 8, 9	,  ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.ordering.relax_less
5	instantiation	10, 11	,  ⊢
	: , :
6	theorem		⊢
	proveit.numbers.addition.strong_bound_via_right_term_bound
7	instantiation	102, 85, 12	,  ⊢
	: , : , :
8	instantiation	23, 15	⊢
	:
9	instantiation	13, 14, 15, 74, 16, 17, 18*, 19*	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
11	instantiation	49, 20, 21	,  ⊢
	: , : , :
12	instantiation	102, 94, 22	,  ⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.reversed_strong_bound_via_right_factor_bound
14	instantiation	23, 74	⊢
	:
15	instantiation	24, 35, 74, 26	⊢
	: , : , :
16	instantiation	25, 35, 74, 26	⊢
	: , : , :
17	instantiation	27, 28	⊢
	:
18	instantiation	29, 66, 30*	⊢
	: , :
19	instantiation	31, 32, 33	⊢
	: , : , :
20	instantiation	34, 74, 35, 36, 37, 38*	⊢
	: , : , :
21	instantiation	63, 55, 92, 40	,  ⊢
	: , : , :
22	instantiation	102, 39, 40	,  ⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.negation.real_closure
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
26	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
27	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
28	instantiation	41, 42	⊢
	:
29	theorem		⊢
	proveit.numbers.multiplication.mult_neg_left
30	instantiation	43, 66	⊢
	:
31	axiom		⊢
	proveit.logic.equality.equals_transitivity
32	instantiation	44, 97, 104, 58, 60, 59, 45, 61, 62	⊢
	: , : , : , : , : , :
33	instantiation	46, 58, 104, 59, 60, 66, 61, 62, 47*	⊢
	: , : , : , : , :
34	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
36	instantiation	102, 85, 48	⊢
	: , : , :
37	instantiation	49, 50, 51	⊢
	: , : , :
38	instantiation	52, 53, 54	⊢
	: , : , :
39	instantiation	83, 55, 92	⊢
	: , :
40	assumption		⊢
41	theorem		⊢
	proveit.numbers.negation.int_neg_closure
42	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
43	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
44	theorem		⊢
	proveit.numbers.multiplication.disassociation
45	instantiation	56, 66	⊢
	:
46	theorem		⊢
	proveit.numbers.multiplication.mult_neg_any
47	instantiation	57, 58, 104, 59, 60, 61, 62	⊢
	: , : , : , :
48	instantiation	102, 94, 68	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
50	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
51	instantiation	63, 90, 84, 76	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.equality.sub_right_side_into
53	instantiation	64, 66	⊢
	:
54	instantiation	65, 66, 67	⊢
	: , :
55	instantiation	91, 68, 90	⊢
	: , :
56	theorem		⊢
	proveit.numbers.negation.complex_closure
57	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
58	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
59	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
60	instantiation	69	⊢
	: , :
61	instantiation	70, 71, 72	⊢
	: , :
62	instantiation	102, 78, 73	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
64	theorem		⊢
	proveit.numbers.addition.elim_zero_right
65	theorem		⊢
	proveit.numbers.addition.commutation
66	instantiation	102, 78, 74	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
68	instantiation	102, 75, 76	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
70	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
71	instantiation	102, 78, 77	⊢
	: , : , :
72	instantiation	102, 78, 79	⊢
	: , : , :
73	instantiation	80, 81	⊢
	:
74	instantiation	102, 85, 82	⊢
	: , : , :
75	instantiation	83, 90, 84	⊢
	: , :
76	assumption		⊢
77	instantiation	102, 85, 86	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
79	instantiation	87, 88, 89	⊢
	: , : , :
80	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
81	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
82	instantiation	102, 94, 90	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
84	instantiation	91, 92, 93	⊢
	: , :
85	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
86	instantiation	102, 94, 101	⊢
	: , : , :
87	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
88	instantiation	95, 96	⊢
	: , :
89	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
90	instantiation	102, 103, 97	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
92	instantiation	102, 98, 99	⊢
	: , : , :
93	instantiation	100, 101	⊢
	:
94	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
95	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
96	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
97	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
98	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
99	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
100	theorem		⊢
	proveit.numbers.negation.int_closure
101	instantiation	102, 103, 104	⊢
	: , : , :
102	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
103	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
104	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements