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	95	⊢
2	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational_nonzero
3	instantiation	4, 5, 6	⊢
	: , :
4	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
5	instantiation	95, 7, 8	⊢
	: , : , :
6	instantiation	9, 10, 82	⊢
	: , :
7	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
8	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
9	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_pos_closure
10	instantiation	11, 26, 12	⊢
	:
11	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.pos_rational_is_rational_pos
12	instantiation	13, 14	⊢
	: , :
13	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
14	instantiation	15, 70, 68, 16, 17, 55*, 18*	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
16	instantiation	95, 83, 19	⊢
	: , : , :
17	instantiation	20, 68, 21, 22, 23	⊢
	: , : , :
18	instantiation	34, 24, 25	⊢
	: , : , :
19	instantiation	32, 26, 74	⊢
	: , :
20	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right_strong
21	instantiation	95, 83, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.physics.quantum.QPE._e_value_ge_two
23	instantiation	27, 86	⊢
	:
24	instantiation	28, 29	⊢
	: , : , :
25	instantiation	34, 30, 31	⊢
	: , : , :
26	instantiation	32, 59, 33	⊢
	: , :
27	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
28	axiom		⊢
	proveit.logic.equality.substitution
29	instantiation	34, 35, 36	⊢
	: , : , :
30	instantiation	41, 44, 90, 97, 46, 37, 47, 61, 65	⊢
	: , : , : , : , : , :
31	instantiation	38, 61, 47, 39	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.addition.add_rational_closure_bin
33	instantiation	95, 91, 40	⊢
	: , : , :
34	axiom		⊢
	proveit.logic.equality.equals_transitivity
35	instantiation	41, 44, 90, 97, 46, 42, 47, 65, 64	⊢
	: , : , : , : , : , :
36	instantiation	43, 97, 90, 44, 45, 46, 47, 65, 64, 48*	⊢
	: , : , : , : , : , :
37	instantiation	52	⊢
	: , :
38	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
39	instantiation	49	⊢
	:
40	instantiation	95, 50, 51	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.addition.disassociation
42	instantiation	52	⊢
	: , :
43	theorem		⊢
	proveit.numbers.addition.association
44	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
45	instantiation	52	⊢
	: , :
46	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
47	instantiation	95, 69, 53	⊢
	: , : , :
48	instantiation	54, 55, 56	⊢
	: , : , :
49	axiom		⊢
	proveit.logic.equality.equals_reflexivity
50	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
51	instantiation	57, 58	⊢
	:
52	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
53	instantiation	95, 83, 59	⊢
	: , : , :
54	theorem		⊢
	proveit.logic.equality.sub_right_side_into
55	instantiation	60, 61, 64, 62	⊢
	: , : , :
56	instantiation	63, 64, 65	⊢
	: , :
57	theorem		⊢
	proveit.numbers.negation.int_neg_closure
58	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
59	instantiation	95, 66, 67	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
61	instantiation	95, 69, 76	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
63	theorem		⊢
	proveit.numbers.addition.commutation
64	instantiation	95, 69, 68	⊢
	: , : , :
65	instantiation	95, 69, 70	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
67	instantiation	71, 72, 73	⊢
	: , :
68	instantiation	95, 83, 74	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
70	instantiation	75, 76	⊢
	:
71	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
72	instantiation	95, 77, 78	⊢
	: , : , :
73	instantiation	79, 80, 81	⊢
	: , :
74	instantiation	95, 91, 82	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.negation.real_closure
76	instantiation	95, 83, 84	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
78	instantiation	95, 85, 86	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
80	instantiation	95, 93, 87	⊢
	: , : , :
81	instantiation	88, 89	⊢
	:
82	instantiation	95, 96, 90	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
84	instantiation	95, 91, 92	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
86	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
87	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
88	theorem		⊢
	proveit.numbers.negation.int_closure
89	instantiation	95, 93, 94	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
91	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
92	instantiation	95, 96, 97	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
94	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos
95	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
96	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
97	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements