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