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