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