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	16	⊢
2	instantiation	16, 3	⊢
	: , : , :
3	instantiation	16, 4	⊢
	: , : , :
4	instantiation	5, 27, 6, 7, 8*	⊢
	: , :
5	theorem		⊢
	proveit.numbers.division.div_as_mult
6	instantiation	86, 58, 9	⊢
	: , : , :
7	instantiation	10, 11	⊢
	:
8	instantiation	18, 12, 13	⊢
	: , : , :
9	instantiation	86, 51, 15	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
11	instantiation	86, 14, 15	⊢
	: , : , :
12	instantiation	16, 17	⊢
	: , : , :
13	instantiation	18, 19, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
15	instantiation	21, 62, 22	⊢
	: , :
16	axiom		⊢
	proveit.logic.equality.substitution
17	instantiation	23, 50, 43, 54, 63, 24, 25*	⊢
	: , : , :
18	axiom		⊢
	proveit.logic.equality.equals_transitivity
19	instantiation	26, 88, 85, 29, 31, 30, 27, 32, 33	⊢
	: , : , : , : , : , :
20	instantiation	28, 29, 85, 30, 31, 32, 33	⊢
	: , : , : , :
21	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
22	instantiation	34, 53, 46	⊢
	:
23	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
24	instantiation	35, 36	⊢
	: , :
25	instantiation	37, 38, 80, 39*	⊢
	: , :
26	theorem		⊢
	proveit.numbers.multiplication.disassociation
27	instantiation	86, 58, 68	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
29	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
30	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
31	instantiation	40	⊢
	: , :
32	instantiation	86, 58, 41	⊢
	: , : , :
33	instantiation	42, 43, 44	⊢
	: , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
35	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
36	instantiation	45, 65, 53, 46	⊢
	: , :
37	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
38	instantiation	86, 47, 48	⊢
	: , : , :
39	instantiation	49, 50	⊢
	:
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
41	instantiation	86, 51, 52	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
43	instantiation	86, 58, 53	⊢
	: , : , :
44	instantiation	86, 58, 54	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
46	instantiation	55, 65, 68, 66	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
48	instantiation	86, 56, 57	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
50	instantiation	86, 58, 59	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
52	instantiation	60, 61, 62, 63	⊢
	: , :
53	instantiation	64, 65, 68, 66	⊢
	: , : , :
54	instantiation	67, 68	⊢
	:
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
57	instantiation	86, 69, 70	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
59	instantiation	86, 76, 71	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
61	instantiation	86, 73, 72	⊢
	: , : , :
62	instantiation	86, 73, 74	⊢
	: , : , :
63	instantiation	75, 82	⊢
	:
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
65	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
66	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
67	theorem		⊢
	proveit.numbers.negation.real_closure
68	instantiation	86, 76, 77	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
70	instantiation	86, 78, 82	⊢
	: , : , :
71	instantiation	86, 83, 79	⊢
	: , : , :
72	instantiation	86, 81, 80	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
74	instantiation	86, 81, 82	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
77	instantiation	86, 83, 84	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
79	instantiation	86, 87, 85	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
81	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
82	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
83	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
84	instantiation	86, 87, 88	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
86	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
87	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
88	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements