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