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, 4	⊢
	: , :
1	theorem		⊢
	proveit.numbers.division.div_real_closure
2	reference	88	⊢
3	instantiation	5, 6, 7	⊢
	: , :
4	instantiation	8, 9	⊢
	:
5	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
6	instantiation	107, 95, 10	⊢
	: , : , :
7	instantiation	11, 33, 102	⊢
	: , :
8	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_if_in_rational_nonzero
9	instantiation	107, 12, 13	⊢
	: , : , :
10	instantiation	107, 103, 14	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
12	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational_nonzero
13	instantiation	15, 16, 17	⊢
	: , :
14	instantiation	107, 108, 18	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
16	instantiation	107, 19, 20	⊢
	: , : , :
17	instantiation	21, 22, 94	⊢
	: , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
20	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
21	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_pos_closure
22	instantiation	23, 38, 24	⊢
	:
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.pos_rational_is_rational_pos
24	instantiation	25, 26	⊢
	: , :
25	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
26	instantiation	27, 82, 80, 28, 29, 67*, 30*	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
28	instantiation	107, 95, 31	⊢
	: , : , :
29	instantiation	32, 80, 33, 34, 35	⊢
	: , : , :
30	instantiation	46, 36, 37	⊢
	: , : , :
31	instantiation	44, 38, 86	⊢
	: , :
32	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right_strong
33	instantiation	107, 95, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.physics.quantum.QPE._e_value_ge_two
35	instantiation	39, 98	⊢
	:
36	instantiation	40, 41	⊢
	: , : , :
37	instantiation	46, 42, 43	⊢
	: , : , :
38	instantiation	44, 71, 45	⊢
	: , :
39	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
40	axiom		⊢
	proveit.logic.equality.substitution
41	instantiation	46, 47, 48	⊢
	: , : , :
42	instantiation	53, 56, 102, 109, 58, 49, 59, 73, 77	⊢
	: , : , : , : , : , :
43	instantiation	50, 73, 59, 51	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.addition.add_rational_closure_bin
45	instantiation	107, 103, 52	⊢
	: , : , :
46	axiom		⊢
	proveit.logic.equality.equals_transitivity
47	instantiation	53, 56, 102, 109, 58, 54, 59, 77, 76	⊢
	: , : , : , : , : , :
48	instantiation	55, 109, 102, 56, 57, 58, 59, 77, 76, 60*	⊢
	: , : , : , : , : , :
49	instantiation	64	⊢
	: , :
50	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
51	instantiation	61	⊢
	:
52	instantiation	107, 62, 63	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.addition.disassociation
54	instantiation	64	⊢
	: , :
55	theorem		⊢
	proveit.numbers.addition.association
56	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
57	instantiation	64	⊢
	: , :
58	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
59	instantiation	107, 81, 65	⊢
	: , : , :
60	instantiation	66, 67, 68	⊢
	: , : , :
61	axiom		⊢
	proveit.logic.equality.equals_reflexivity
62	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
63	instantiation	69, 70	⊢
	:
64	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
65	instantiation	107, 95, 71	⊢
	: , : , :
66	theorem		⊢
	proveit.logic.equality.sub_right_side_into
67	instantiation	72, 73, 76, 74	⊢
	: , : , :
68	instantiation	75, 76, 77	⊢
	: , :
69	theorem		⊢
	proveit.numbers.negation.int_neg_closure
70	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
71	instantiation	107, 78, 79	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
73	instantiation	107, 81, 88	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
75	theorem		⊢
	proveit.numbers.addition.commutation
76	instantiation	107, 81, 80	⊢
	: , : , :
77	instantiation	107, 81, 82	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
79	instantiation	83, 84, 85	⊢
	: , :
80	instantiation	107, 95, 86	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
82	instantiation	87, 88	⊢
	:
83	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
84	instantiation	107, 89, 90	⊢
	: , : , :
85	instantiation	91, 92, 93	⊢
	: , :
86	instantiation	107, 103, 94	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.negation.real_closure
88	instantiation	107, 95, 96	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
90	instantiation	107, 97, 98	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
92	instantiation	107, 105, 99	⊢
	: , : , :
93	instantiation	100, 101	⊢
	:
94	instantiation	107, 108, 102	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
96	instantiation	107, 103, 104	⊢
	: , : , :
97	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
98	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
99	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
100	theorem		⊢
	proveit.numbers.negation.int_closure
101	instantiation	107, 105, 106	⊢
	: , : , :
102	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
103	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
104	instantiation	107, 108, 109	⊢
	: , : , :
105	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
106	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos
107	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
108	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
109	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements