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