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