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