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	reference	88	⊢
2	instantiation	3, 89, 4, 5	⊢
	: , :
3	theorem		⊢
	proveit.numbers.division.div_real_closure
4	instantiation	6, 7, 8	⊢
	: , :
5	instantiation	9, 10	⊢
	:
6	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
7	instantiation	108, 96, 11	⊢
	: , : , :
8	instantiation	12, 34, 103	⊢
	: , :
9	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_if_in_rational_nonzero
10	instantiation	108, 13, 14	⊢
	: , : , :
11	instantiation	108, 104, 15	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
13	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational_nonzero
14	instantiation	16, 17, 18	⊢
	: , :
15	instantiation	108, 109, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
17	instantiation	108, 20, 21	⊢
	: , : , :
18	instantiation	22, 23, 95	⊢
	: , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
22	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_pos_closure
23	instantiation	24, 39, 25	⊢
	:
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.pos_rational_is_rational_pos
25	instantiation	26, 27	⊢
	: , :
26	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
27	instantiation	28, 83, 81, 29, 30, 68*, 31*	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
29	instantiation	108, 96, 32	⊢
	: , : , :
30	instantiation	33, 81, 34, 35, 36	⊢
	: , : , :
31	instantiation	47, 37, 38	⊢
	: , : , :
32	instantiation	45, 39, 87	⊢
	: , :
33	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right_strong
34	instantiation	108, 96, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.physics.quantum.QPE._e_value_ge_two
36	instantiation	40, 99	⊢
	:
37	instantiation	41, 42	⊢
	: , : , :
38	instantiation	47, 43, 44	⊢
	: , : , :
39	instantiation	45, 72, 46	⊢
	: , :
40	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
41	axiom		⊢
	proveit.logic.equality.substitution
42	instantiation	47, 48, 49	⊢
	: , : , :
43	instantiation	54, 57, 103, 110, 59, 50, 60, 74, 78	⊢
	: , : , : , : , : , :
44	instantiation	51, 74, 60, 52	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.addition.add_rational_closure_bin
46	instantiation	108, 104, 53	⊢
	: , : , :
47	axiom		⊢
	proveit.logic.equality.equals_transitivity
48	instantiation	54, 57, 103, 110, 59, 55, 60, 78, 77	⊢
	: , : , : , : , : , :
49	instantiation	56, 110, 103, 57, 58, 59, 60, 78, 77, 61*	⊢
	: , : , : , : , : , :
50	instantiation	65	⊢
	: , :
51	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
52	instantiation	62	⊢
	:
53	instantiation	108, 63, 64	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.addition.disassociation
55	instantiation	65	⊢
	: , :
56	theorem		⊢
	proveit.numbers.addition.association
57	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
58	instantiation	65	⊢
	: , :
59	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
60	instantiation	108, 82, 66	⊢
	: , : , :
61	instantiation	67, 68, 69	⊢
	: , : , :
62	axiom		⊢
	proveit.logic.equality.equals_reflexivity
63	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
64	instantiation	70, 71	⊢
	:
65	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
66	instantiation	108, 96, 72	⊢
	: , : , :
67	theorem		⊢
	proveit.logic.equality.sub_right_side_into
68	instantiation	73, 74, 77, 75	⊢
	: , : , :
69	instantiation	76, 77, 78	⊢
	: , :
70	theorem		⊢
	proveit.numbers.negation.int_neg_closure
71	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
72	instantiation	108, 79, 80	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
74	instantiation	108, 82, 89	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
76	theorem		⊢
	proveit.numbers.addition.commutation
77	instantiation	108, 82, 81	⊢
	: , : , :
78	instantiation	108, 82, 83	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
80	instantiation	84, 85, 86	⊢
	: , :
81	instantiation	108, 96, 87	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
83	instantiation	88, 89	⊢
	:
84	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
85	instantiation	108, 90, 91	⊢
	: , : , :
86	instantiation	92, 93, 94	⊢
	: , :
87	instantiation	108, 104, 95	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.negation.real_closure
89	instantiation	108, 96, 97	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
91	instantiation	108, 98, 99	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
93	instantiation	108, 106, 100	⊢
	: , : , :
94	instantiation	101, 102	⊢
	:
95	instantiation	108, 109, 103	⊢
	: , : , :
96	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
97	instantiation	108, 104, 105	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
99	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
100	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
101	theorem		⊢
	proveit.numbers.negation.int_closure
102	instantiation	108, 106, 107	⊢
	: , : , :
103	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
104	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
105	instantiation	108, 109, 110	⊢
	: , : , :
106	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
107	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos
108	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
109	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
110	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements