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, 6, 7*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
2	reference	24	⊢
3	instantiation	54, 31, 8	⊢
	: , : , :
4	instantiation	9, 10	⊢
	:
5	instantiation	11, 44	⊢
	:
6	instantiation	11, 12	⊢
	:
7	instantiation	13, 14, 15, 16*	⊢
	: , :
8	instantiation	54, 38, 17	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.negation.real_closure
10	instantiation	54, 38, 18	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
12	instantiation	19, 25, 20	⊢
	:
13	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
14	instantiation	54, 21, 22	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
16	instantiation	23, 24	⊢
	:
17	instantiation	54, 45, 25	⊢
	: , : , :
18	instantiation	54, 45, 41	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
20	instantiation	26, 27, 28	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
22	instantiation	54, 29, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
24	instantiation	54, 31, 32	⊢
	: , : , :
25	instantiation	54, 33, 35	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
27	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
28	instantiation	34, 41, 42, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
30	instantiation	54, 36, 37	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
32	instantiation	54, 38, 39	⊢
	: , : , :
33	instantiation	40, 41, 42	⊢
	: , :
34	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
37	instantiation	54, 43, 44	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	54, 45, 53	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
41	instantiation	54, 55, 46	⊢
	: , : , :
42	instantiation	47, 48, 49	⊢
	: , :
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
47	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
48	instantiation	54, 50, 51	⊢
	: , : , :
49	instantiation	52, 53	⊢
	:
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
51	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
52	theorem		⊢
	proveit.numbers.negation.int_closure
53	instantiation	54, 55, 56	⊢
	: , : , :
54	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements