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