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	,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.exp_pos_less
2	reference	86	⊢
3	instantiation	7, 16, 23	,  ⊢
	: , :
4	instantiation	7, 16, 17	,  ⊢
	: , :
5	instantiation	8, 9, 10	,  ⊢
	: , :
6	instantiation	11, 12	⊢
	:
7	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
8	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
9	instantiation	13, 14	,  ⊢
	: , :
10	instantiation	15, 16, 23, 17, 18	,  ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
12	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
13	theorem		⊢
	proveit.numbers.ordering.relax_less
14	instantiation	19, 20	,  ⊢
	: , :
15	theorem		⊢
	proveit.numbers.addition.strong_bound_via_right_term_bound
16	instantiation	111, 94, 21	,  ⊢
	: , : , :
17	instantiation	32, 24	⊢
	:
18	instantiation	22, 23, 24, 83, 25, 26, 27*, 28*	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
20	instantiation	58, 29, 30	,  ⊢
	: , : , :
21	instantiation	111, 103, 31	,  ⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.multiplication.reversed_strong_bound_via_right_factor_bound
23	instantiation	32, 83	⊢
	:
24	instantiation	33, 44, 83, 35	⊢
	: , : , :
25	instantiation	34, 44, 83, 35	⊢
	: , : , :
26	instantiation	36, 37	⊢
	:
27	instantiation	38, 75, 39*	⊢
	: , :
28	instantiation	40, 41, 42	⊢
	: , : , :
29	instantiation	43, 83, 44, 45, 46, 47*	⊢
	: , : , :
30	instantiation	72, 64, 101, 49	,  ⊢
	: , : , :
31	instantiation	111, 48, 49	,  ⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.negation.real_closure
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
35	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
36	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
37	instantiation	50, 51	⊢
	:
38	theorem		⊢
	proveit.numbers.multiplication.mult_neg_left
39	instantiation	52, 75	⊢
	:
40	axiom		⊢
	proveit.logic.equality.equals_transitivity
41	instantiation	53, 106, 113, 67, 69, 68, 54, 70, 71	⊢
	: , : , : , : , : , :
42	instantiation	55, 67, 113, 68, 69, 75, 70, 71, 56*	⊢
	: , : , : , : , :
43	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
45	instantiation	111, 94, 57	⊢
	: , : , :
46	instantiation	58, 59, 60	⊢
	: , : , :
47	instantiation	61, 62, 63	⊢
	: , : , :
48	instantiation	92, 64, 101	⊢
	: , :
49	assumption		⊢
50	theorem		⊢
	proveit.numbers.negation.int_neg_closure
51	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
52	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
53	theorem		⊢
	proveit.numbers.multiplication.disassociation
54	instantiation	65, 75	⊢
	:
55	theorem		⊢
	proveit.numbers.multiplication.mult_neg_any
56	instantiation	66, 67, 113, 68, 69, 70, 71	⊢
	: , : , : , :
57	instantiation	111, 103, 77	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
59	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
60	instantiation	72, 99, 93, 85	⊢
	: , : , :
61	theorem		⊢
	proveit.logic.equality.sub_right_side_into
62	instantiation	73, 75	⊢
	:
63	instantiation	74, 75, 76	⊢
	: , :
64	instantiation	100, 77, 99	⊢
	: , :
65	theorem		⊢
	proveit.numbers.negation.complex_closure
66	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
67	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
68	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
69	instantiation	78	⊢
	: , :
70	instantiation	79, 80, 81	⊢
	: , :
71	instantiation	111, 87, 82	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
73	theorem		⊢
	proveit.numbers.addition.elim_zero_right
74	theorem		⊢
	proveit.numbers.addition.commutation
75	instantiation	111, 87, 83	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
77	instantiation	111, 84, 85	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
79	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
80	instantiation	111, 87, 86	⊢
	: , : , :
81	instantiation	111, 87, 88	⊢
	: , : , :
82	instantiation	89, 90	⊢
	:
83	instantiation	111, 94, 91	⊢
	: , : , :
84	instantiation	92, 99, 93	⊢
	: , :
85	assumption		⊢
86	instantiation	111, 94, 95	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
88	instantiation	96, 97, 98	⊢
	: , : , :
89	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
90	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
91	instantiation	111, 103, 99	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
93	instantiation	100, 101, 102	⊢
	: , :
94	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
95	instantiation	111, 103, 110	⊢
	: , : , :
96	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
97	instantiation	104, 105	⊢
	: , :
98	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
99	instantiation	111, 112, 106	⊢
	: , : , :
100	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
101	instantiation	111, 107, 108	⊢
	: , : , :
102	instantiation	109, 110	⊢
	:
103	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
104	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
105	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
106	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
107	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
108	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
109	theorem		⊢
	proveit.numbers.negation.int_closure
110	instantiation	111, 112, 113	⊢
	: , : , :
111	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
112	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
113	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements