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.numbers.exponentiation.exp_rational_pos_closure
2	instantiation	4, 19, 5	⊢
	:
3	reference	75	⊢
4	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.pos_rational_is_rational_pos
5	instantiation	6, 7	⊢
	: , :
6	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
7	instantiation	8, 63, 61, 9, 10, 48*, 11*	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
9	instantiation	88, 76, 12	⊢
	: , : , :
10	instantiation	13, 61, 14, 15, 16	⊢
	: , : , :
11	instantiation	27, 17, 18	⊢
	: , : , :
12	instantiation	25, 19, 67	⊢
	: , :
13	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right_strong
14	instantiation	88, 76, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.physics.quantum.QPE._e_value_ge_two
16	instantiation	20, 79	⊢
	:
17	instantiation	21, 22	⊢
	: , : , :
18	instantiation	27, 23, 24	⊢
	: , : , :
19	instantiation	25, 52, 26	⊢
	: , :
20	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
21	axiom		⊢
	proveit.logic.equality.substitution
22	instantiation	27, 28, 29	⊢
	: , : , :
23	instantiation	34, 37, 83, 90, 39, 30, 40, 54, 58	⊢
	: , : , : , : , : , :
24	instantiation	31, 54, 40, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.addition.add_rational_closure_bin
26	instantiation	88, 84, 33	⊢
	: , : , :
27	axiom		⊢
	proveit.logic.equality.equals_transitivity
28	instantiation	34, 37, 83, 90, 39, 35, 40, 58, 57	⊢
	: , : , : , : , : , :
29	instantiation	36, 90, 83, 37, 38, 39, 40, 58, 57, 41*	⊢
	: , : , : , : , : , :
30	instantiation	45	⊢
	: , :
31	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
32	instantiation	42	⊢
	:
33	instantiation	88, 43, 44	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.addition.disassociation
35	instantiation	45	⊢
	: , :
36	theorem		⊢
	proveit.numbers.addition.association
37	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
38	instantiation	45	⊢
	: , :
39	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
40	instantiation	88, 62, 46	⊢
	: , : , :
41	instantiation	47, 48, 49	⊢
	: , : , :
42	axiom		⊢
	proveit.logic.equality.equals_reflexivity
43	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
44	instantiation	50, 51	⊢
	:
45	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
46	instantiation	88, 76, 52	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.equality.sub_right_side_into
48	instantiation	53, 54, 57, 55	⊢
	: , : , :
49	instantiation	56, 57, 58	⊢
	: , :
50	theorem		⊢
	proveit.numbers.negation.int_neg_closure
51	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
52	instantiation	88, 59, 60	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
54	instantiation	88, 62, 69	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
56	theorem		⊢
	proveit.numbers.addition.commutation
57	instantiation	88, 62, 61	⊢
	: , : , :
58	instantiation	88, 62, 63	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
60	instantiation	64, 65, 66	⊢
	: , :
61	instantiation	88, 76, 67	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
63	instantiation	68, 69	⊢
	:
64	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
65	instantiation	88, 70, 71	⊢
	: , : , :
66	instantiation	72, 73, 74	⊢
	: , :
67	instantiation	88, 84, 75	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.negation.real_closure
69	instantiation	88, 76, 77	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
71	instantiation	88, 78, 79	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
73	instantiation	88, 86, 80	⊢
	: , : , :
74	instantiation	81, 82	⊢
	:
75	instantiation	88, 89, 83	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
77	instantiation	88, 84, 85	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
79	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
80	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
81	theorem		⊢
	proveit.numbers.negation.int_closure
82	instantiation	88, 86, 87	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
85	instantiation	88, 89, 90	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
87	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos
88	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
89	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements