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, 37, 30, 10, 11, 12, 13*	⊢
	: , : , :
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	14, 73, 83, 16, 18, 17, 41, 19, 20	⊢
	: , : , : , : , : , :
8	instantiation	15, 16, 83, 17, 18, 19, 20	⊢
	: , : , : , :
9	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
10	instantiation	21, 52	⊢
	:
11	instantiation	22, 66	⊢
	:
12	instantiation	22, 23	⊢
	:
13	instantiation	24, 25, 64, 26*	⊢
	: , :
14	theorem		⊢
	proveit.numbers.multiplication.disassociation
15	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	27	⊢
	: , :
19	instantiation	81, 51, 28	⊢
	: , : , :
20	instantiation	29, 30, 31	⊢
	: , :
21	theorem		⊢
	proveit.numbers.negation.real_closure
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
23	instantiation	32, 60, 33	⊢
	:
24	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
25	instantiation	81, 34, 35	⊢
	: , : , :
26	instantiation	36, 37	⊢
	:
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
28	instantiation	81, 61, 38	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
30	instantiation	81, 51, 39	⊢
	: , : , :
31	instantiation	40, 41	⊢
	:
32	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
33	instantiation	42, 43, 44	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
35	instantiation	81, 45, 46	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
37	instantiation	81, 51, 47	⊢
	: , : , :
38	instantiation	81, 48, 49	⊢
	: , : , :
39	instantiation	81, 61, 50	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.negation.complex_closure
41	instantiation	81, 51, 52	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
43	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
44	instantiation	53, 71, 72, 68	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
46	instantiation	81, 54, 55	⊢
	: , : , :
47	instantiation	81, 61, 56	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
49	instantiation	57, 58, 59	⊢
	: , :
50	instantiation	81, 69, 60	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
52	instantiation	81, 61, 62	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
55	instantiation	81, 63, 66	⊢
	: , : , :
56	instantiation	81, 69, 80	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
58	instantiation	81, 65, 64	⊢
	: , : , :
59	instantiation	81, 65, 66	⊢
	: , : , :
60	instantiation	81, 67, 68	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
62	instantiation	81, 69, 71	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
64	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
65	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
66	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
67	instantiation	70, 71, 72	⊢
	: , :
68	assumption		⊢
69	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
70	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
71	instantiation	81, 82, 73	⊢
	: , : , :
72	instantiation	74, 75, 76	⊢
	: , :
73	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
74	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
75	instantiation	81, 77, 78	⊢
	: , : , :
76	instantiation	79, 80	⊢
	:
77	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
78	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
79	theorem		⊢
	proveit.numbers.negation.int_closure
80	instantiation	81, 82, 83	⊢
	: , : , :
81	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
82	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
83	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements