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	⊢
	:
1	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_if_in_rational_nonzero
2	instantiation	96, 3, 4	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational_nonzero
4	instantiation	5, 6, 7	⊢
	: , :
5	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
6	instantiation	96, 8, 9	⊢
	: , : , :
7	instantiation	10, 11, 83	⊢
	: , :
8	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
9	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
10	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_pos_closure
11	instantiation	12, 27, 13	⊢
	:
12	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.pos_rational_is_rational_pos
13	instantiation	14, 15	⊢
	: , :
14	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
15	instantiation	16, 71, 69, 17, 18, 56*, 19*	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
17	instantiation	96, 84, 20	⊢
	: , : , :
18	instantiation	21, 69, 22, 23, 24	⊢
	: , : , :
19	instantiation	35, 25, 26	⊢
	: , : , :
20	instantiation	33, 27, 75	⊢
	: , :
21	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right_strong
22	instantiation	96, 84, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.physics.quantum.QPE._e_value_ge_two
24	instantiation	28, 87	⊢
	:
25	instantiation	29, 30	⊢
	: , : , :
26	instantiation	35, 31, 32	⊢
	: , : , :
27	instantiation	33, 60, 34	⊢
	: , :
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
29	axiom		⊢
	proveit.logic.equality.substitution
30	instantiation	35, 36, 37	⊢
	: , : , :
31	instantiation	42, 45, 91, 98, 47, 38, 48, 62, 66	⊢
	: , : , : , : , : , :
32	instantiation	39, 62, 48, 40	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.addition.add_rational_closure_bin
34	instantiation	96, 92, 41	⊢
	: , : , :
35	axiom		⊢
	proveit.logic.equality.equals_transitivity
36	instantiation	42, 45, 91, 98, 47, 43, 48, 66, 65	⊢
	: , : , : , : , : , :
37	instantiation	44, 98, 91, 45, 46, 47, 48, 66, 65, 49*	⊢
	: , : , : , : , : , :
38	instantiation	53	⊢
	: , :
39	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
40	instantiation	50	⊢
	:
41	instantiation	96, 51, 52	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.addition.disassociation
43	instantiation	53	⊢
	: , :
44	theorem		⊢
	proveit.numbers.addition.association
45	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
46	instantiation	53	⊢
	: , :
47	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
48	instantiation	96, 70, 54	⊢
	: , : , :
49	instantiation	55, 56, 57	⊢
	: , : , :
50	axiom		⊢
	proveit.logic.equality.equals_reflexivity
51	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
52	instantiation	58, 59	⊢
	:
53	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
54	instantiation	96, 84, 60	⊢
	: , : , :
55	theorem		⊢
	proveit.logic.equality.sub_right_side_into
56	instantiation	61, 62, 65, 63	⊢
	: , : , :
57	instantiation	64, 65, 66	⊢
	: , :
58	theorem		⊢
	proveit.numbers.negation.int_neg_closure
59	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
60	instantiation	96, 67, 68	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
62	instantiation	96, 70, 77	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
64	theorem		⊢
	proveit.numbers.addition.commutation
65	instantiation	96, 70, 69	⊢
	: , : , :
66	instantiation	96, 70, 71	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
68	instantiation	72, 73, 74	⊢
	: , :
69	instantiation	96, 84, 75	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
71	instantiation	76, 77	⊢
	:
72	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
73	instantiation	96, 78, 79	⊢
	: , : , :
74	instantiation	80, 81, 82	⊢
	: , :
75	instantiation	96, 92, 83	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.negation.real_closure
77	instantiation	96, 84, 85	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
79	instantiation	96, 86, 87	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
81	instantiation	96, 94, 88	⊢
	: , : , :
82	instantiation	89, 90	⊢
	:
83	instantiation	96, 97, 91	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
85	instantiation	96, 92, 93	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
87	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
88	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
89	theorem		⊢
	proveit.numbers.negation.int_closure
90	instantiation	96, 94, 95	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
92	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
93	instantiation	96, 97, 98	⊢
	: , : , :
94	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
95	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos
96	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
97	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
98	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements