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, 5, 6, 7, 8, 9	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	reference	74	⊢
3	reference	85	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	35	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	92, 46, 18	⊢
	: , : , :
8	instantiation	92, 46, 10	⊢
	: , : , :
9	instantiation	92, 46, 11	⊢
	: , : , :
10	instantiation	13, 12	⊢
	:
11	instantiation	13, 14	⊢
	:
12	instantiation	17, 18, 15, 16	⊢
	: , :
13	theorem		⊢
	proveit.numbers.negation.real_closure
14	instantiation	17, 18, 19, 20	⊢
	: , :
15	instantiation	24, 47, 34	⊢
	: , :
16	instantiation	27, 85, 21, 22, 38	⊢
	: , :
17	theorem		⊢
	proveit.numbers.division.div_real_closure
18	instantiation	92, 53, 23	⊢
	: , : , :
19	instantiation	24, 25, 26	⊢
	: , :
20	instantiation	27, 85, 28, 29, 30	⊢
	: , :
21	instantiation	35	⊢
	: , :
22	instantiation	92, 44, 31	⊢
	: , : , :
23	instantiation	92, 59, 71	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
25	instantiation	92, 53, 32	⊢
	: , : , :
26	instantiation	33, 34, 85	⊢
	: , :
27	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
28	instantiation	35	⊢
	: , :
29	instantiation	92, 44, 36	⊢
	: , : , :
30	instantiation	37, 38, 39	⊢
	: , :
31	instantiation	92, 51, 40	⊢
	: , : , :
32	instantiation	92, 59, 41	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
34	instantiation	92, 53, 42	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
36	instantiation	92, 51, 43	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
38	instantiation	92, 44, 45	⊢
	: , : , :
39	instantiation	92, 46, 47	⊢
	: , : , :
40	instantiation	92, 57, 48	⊢
	: , : , :
41	instantiation	92, 84, 49	⊢
	: , : , :
42	instantiation	92, 59, 63	⊢
	: , : , :
43	instantiation	92, 57, 50	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
45	instantiation	92, 51, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
47	instantiation	92, 53, 54	⊢
	: , : , :
48	instantiation	92, 60, 55	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
50	instantiation	92, 60, 56	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
52	instantiation	92, 57, 58	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
54	instantiation	92, 59, 80	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
56	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
57	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
58	instantiation	92, 60, 61	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
61	instantiation	62, 63, 64	⊢
	:
62	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
63	instantiation	92, 65, 73	⊢
	: , : , :
64	instantiation	66, 67, 68	⊢
	: , : , :
65	instantiation	69, 71, 72	⊢
	: , :
66	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
67	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
68	instantiation	70, 71, 72, 73	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
70	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
71	instantiation	92, 84, 74	⊢
	: , : , :
72	instantiation	86, 75, 76	⊢
	: , :
73	theorem		⊢
	proveit.physics.quantum.QPE._e_value_in_e_domain
74	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
75	instantiation	77, 80, 78	⊢
	: , :
76	instantiation	79, 80	⊢
	:
77	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
78	instantiation	81, 82, 83	⊢
	:
79	theorem		⊢
	proveit.numbers.negation.int_closure
80	instantiation	92, 84, 85	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
82	instantiation	86, 87, 88	⊢
	: , :
83	instantiation	89, 90	⊢
	: , :
84	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
85	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
86	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
87	instantiation	92, 91, 96	⊢
	: , : , :
88	instantiation	92, 93, 94	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
90	instantiation	95, 96	⊢
	:
91	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
92	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
93	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
94	instantiation	97, 98	⊢
	:
95	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
96	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
97	theorem		⊢
	proveit.numbers.negation.int_neg_closure
98	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1