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