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, 44, 10, 30, 11, 12, 13*, 14*	⊢
	: , : , :
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	15, 95, 105, 17, 19, 18, 48, 20, 21	⊢
	: , : , : , : , : , :
8	instantiation	16, 17, 105, 18, 19, 20, 21	⊢
	: , : , : , :
9	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
10	instantiation	103, 71, 22	⊢
	: , : , :
11	instantiation	46, 86	⊢
	:
12	instantiation	23, 24, 25	⊢
	: , :
13	instantiation	26, 27, 84, 28*	⊢
	: , :
14	instantiation	29, 36, 72, 30, 31, 32*	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.multiplication.disassociation
16	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	33	⊢
	: , :
20	instantiation	103, 71, 34	⊢
	: , : , :
21	instantiation	35, 36, 37	⊢
	: , :
22	instantiation	38, 51, 105	⊢
	: , :
23	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
24	instantiation	103, 67, 39	⊢
	: , : , :
25	instantiation	103, 67, 40	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
27	instantiation	103, 41, 42	⊢
	: , : , :
28	instantiation	43, 44	⊢
	:
29	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
30	instantiation	45, 58	⊢
	:
31	instantiation	46, 53	⊢
	:
32	instantiation	47, 60, 48, 49*	⊢
	: , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
34	instantiation	103, 82, 50	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
36	instantiation	103, 71, 51	⊢
	: , : , :
37	instantiation	103, 71, 52	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
39	instantiation	103, 80, 53	⊢
	: , : , :
40	instantiation	103, 80, 54	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
42	instantiation	103, 55, 56	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
44	instantiation	103, 71, 57	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.negation.real_closure
46	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
47	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
48	instantiation	103, 71, 58	⊢
	: , : , :
49	instantiation	59, 60	⊢
	:
50	instantiation	103, 61, 62	⊢
	: , : , :
51	instantiation	103, 82, 63	⊢
	: , : , :
52	instantiation	103, 82, 64	⊢
	: , : , :
53	instantiation	65, 76, 66	⊢
	:
54	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
56	instantiation	103, 67, 68	⊢
	: , : , :
57	instantiation	103, 82, 69	⊢
	: , : , :
58	instantiation	103, 82, 70	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
60	instantiation	103, 71, 72	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
62	instantiation	73, 74, 75	⊢
	: , :
63	instantiation	103, 91, 76	⊢
	: , : , :
64	instantiation	103, 91, 98	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
66	instantiation	77, 78, 79	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
68	instantiation	103, 80, 86	⊢
	: , : , :
69	instantiation	103, 91, 81	⊢
	: , : , :
70	instantiation	103, 91, 93	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
72	instantiation	103, 82, 83	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
74	instantiation	103, 85, 84	⊢
	: , : , :
75	instantiation	103, 85, 86	⊢
	: , : , :
76	instantiation	103, 87, 89	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
78	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
79	instantiation	88, 93, 94, 89	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
81	instantiation	103, 104, 90	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
83	instantiation	103, 91, 102	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
85	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
86	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
87	instantiation	92, 93, 94	⊢
	: , :
88	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
89	assumption		⊢
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
91	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
92	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
93	instantiation	103, 104, 95	⊢
	: , : , :
94	instantiation	96, 97, 98	⊢
	: , :
95	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
96	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
97	instantiation	103, 99, 100	⊢
	: , : , :
98	instantiation	101, 102	⊢
	:
99	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
100	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
101	theorem		⊢
	proveit.numbers.negation.int_closure
102	instantiation	103, 104, 105	⊢
	: , : , :
103	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
104	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
105	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements