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