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	reference	92	⊢
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
3	instantiation	4, 5, 6	⊢
	: , :
4	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
5	instantiation	92, 7, 83	⊢
	: , : , :
6	instantiation	8, 23, 9	⊢
	:
7	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
8	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.pos_rational_is_rational_pos
9	instantiation	10, 11	⊢
	: , :
10	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
11	instantiation	12, 67, 65, 13, 14, 52*, 15*	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
13	instantiation	92, 80, 16	⊢
	: , : , :
14	instantiation	17, 65, 18, 19, 20	⊢
	: , : , :
15	instantiation	31, 21, 22	⊢
	: , : , :
16	instantiation	29, 23, 71	⊢
	: , :
17	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right_strong
18	instantiation	92, 80, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.physics.quantum.QPE._e_value_ge_two
20	instantiation	24, 83	⊢
	:
21	instantiation	25, 26	⊢
	: , : , :
22	instantiation	31, 27, 28	⊢
	: , : , :
23	instantiation	29, 56, 30	⊢
	: , :
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
25	axiom		⊢
	proveit.logic.equality.substitution
26	instantiation	31, 32, 33	⊢
	: , : , :
27	instantiation	38, 41, 87, 94, 43, 34, 44, 58, 62	⊢
	: , : , : , : , : , :
28	instantiation	35, 58, 44, 36	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.addition.add_rational_closure_bin
30	instantiation	92, 88, 37	⊢
	: , : , :
31	axiom		⊢
	proveit.logic.equality.equals_transitivity
32	instantiation	38, 41, 87, 94, 43, 39, 44, 62, 61	⊢
	: , : , : , : , : , :
33	instantiation	40, 94, 87, 41, 42, 43, 44, 62, 61, 45*	⊢
	: , : , : , : , : , :
34	instantiation	49	⊢
	: , :
35	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
36	instantiation	46	⊢
	:
37	instantiation	92, 47, 48	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.addition.disassociation
39	instantiation	49	⊢
	: , :
40	theorem		⊢
	proveit.numbers.addition.association
41	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
42	instantiation	49	⊢
	: , :
43	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
44	instantiation	92, 66, 50	⊢
	: , : , :
45	instantiation	51, 52, 53	⊢
	: , : , :
46	axiom		⊢
	proveit.logic.equality.equals_reflexivity
47	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
48	instantiation	54, 55	⊢
	:
49	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
50	instantiation	92, 80, 56	⊢
	: , : , :
51	theorem		⊢
	proveit.logic.equality.sub_right_side_into
52	instantiation	57, 58, 61, 59	⊢
	: , : , :
53	instantiation	60, 61, 62	⊢
	: , :
54	theorem		⊢
	proveit.numbers.negation.int_neg_closure
55	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
56	instantiation	92, 63, 64	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
58	instantiation	92, 66, 73	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
60	theorem		⊢
	proveit.numbers.addition.commutation
61	instantiation	92, 66, 65	⊢
	: , : , :
62	instantiation	92, 66, 67	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
64	instantiation	68, 69, 70	⊢
	: , :
65	instantiation	92, 80, 71	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
67	instantiation	72, 73	⊢
	:
68	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
69	instantiation	92, 74, 75	⊢
	: , : , :
70	instantiation	76, 77, 78	⊢
	: , :
71	instantiation	92, 88, 79	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.negation.real_closure
73	instantiation	92, 80, 81	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
75	instantiation	92, 82, 83	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
77	instantiation	92, 90, 84	⊢
	: , : , :
78	instantiation	85, 86	⊢
	:
79	instantiation	92, 93, 87	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
81	instantiation	92, 88, 89	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
83	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
84	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
85	theorem		⊢
	proveit.numbers.negation.int_closure
86	instantiation	92, 90, 91	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
88	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
89	instantiation	92, 93, 94	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
91	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos
92	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
93	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
94	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements