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	18	⊢
2	instantiation	18, 3	⊢
	: , : , :
3	instantiation	18, 4	⊢
	: , : , :
4	instantiation	18, 5	⊢
	: , : , :
5	instantiation	18, 6	⊢
	: , : , :
6	instantiation	7, 29, 8, 9, 10*	⊢
	: , :
7	theorem		⊢
	proveit.numbers.division.div_as_mult
8	instantiation	88, 60, 11	⊢
	: , : , :
9	instantiation	12, 13	⊢
	:
10	instantiation	20, 14, 15	⊢
	: , : , :
11	instantiation	88, 53, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
13	instantiation	88, 16, 17	⊢
	: , : , :
14	instantiation	18, 19	⊢
	: , : , :
15	instantiation	20, 21, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
17	instantiation	23, 64, 24	⊢
	: , :
18	axiom		⊢
	proveit.logic.equality.substitution
19	instantiation	25, 52, 45, 56, 65, 26, 27*	⊢
	: , : , :
20	axiom		⊢
	proveit.logic.equality.equals_transitivity
21	instantiation	28, 90, 87, 31, 33, 32, 29, 34, 35	⊢
	: , : , : , : , : , :
22	instantiation	30, 31, 87, 32, 33, 34, 35	⊢
	: , : , : , :
23	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
24	instantiation	36, 55, 48	⊢
	:
25	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
26	instantiation	37, 38	⊢
	: , :
27	instantiation	39, 40, 82, 41*	⊢
	: , :
28	theorem		⊢
	proveit.numbers.multiplication.disassociation
29	instantiation	88, 60, 70	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
31	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
32	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
33	instantiation	42	⊢
	: , :
34	instantiation	88, 60, 43	⊢
	: , : , :
35	instantiation	44, 45, 46	⊢
	: , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
37	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
38	instantiation	47, 67, 55, 48	⊢
	: , :
39	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
40	instantiation	88, 49, 50	⊢
	: , : , :
41	instantiation	51, 52	⊢
	:
42	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
43	instantiation	88, 53, 54	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
45	instantiation	88, 60, 55	⊢
	: , : , :
46	instantiation	88, 60, 56	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
48	instantiation	57, 67, 70, 68	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
50	instantiation	88, 58, 59	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
52	instantiation	88, 60, 61	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
54	instantiation	62, 63, 64, 65	⊢
	: , :
55	instantiation	66, 67, 70, 68	⊢
	: , : , :
56	instantiation	69, 70	⊢
	:
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
59	instantiation	88, 71, 72	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
61	instantiation	88, 78, 73	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
63	instantiation	88, 75, 74	⊢
	: , : , :
64	instantiation	88, 75, 76	⊢
	: , : , :
65	instantiation	77, 84	⊢
	:
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
68	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
69	theorem		⊢
	proveit.numbers.negation.real_closure
70	instantiation	88, 78, 79	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
72	instantiation	88, 80, 84	⊢
	: , : , :
73	instantiation	88, 85, 81	⊢
	: , : , :
74	instantiation	88, 83, 82	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
76	instantiation	88, 83, 84	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
78	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
79	instantiation	88, 85, 86	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
81	instantiation	88, 89, 87	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
83	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
84	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
85	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
86	instantiation	88, 89, 90	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
88	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
89	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements