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