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	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 25, 4, 5, 6, 7, 8*	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
4	instantiation	55, 32, 9	⊢
	: , : , :
5	instantiation	10, 11	⊢
	:
6	instantiation	12, 45	⊢
	:
7	instantiation	12, 13	⊢
	:
8	instantiation	14, 15, 16, 17*	⊢
	: , :
9	instantiation	55, 39, 18	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.negation.real_closure
11	instantiation	55, 39, 19	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
13	instantiation	20, 26, 21	⊢
	:
14	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
15	instantiation	55, 22, 23	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
17	instantiation	24, 25	⊢
	:
18	instantiation	55, 46, 26	⊢
	: , : , :
19	instantiation	55, 46, 42	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
21	instantiation	27, 28, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
23	instantiation	55, 30, 31	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
25	instantiation	55, 32, 33	⊢
	: , : , :
26	instantiation	55, 34, 36	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
28	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
29	instantiation	35, 42, 43, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
31	instantiation	55, 37, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	55, 39, 40	⊢
	: , : , :
34	instantiation	41, 42, 43	⊢
	: , :
35	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
38	instantiation	55, 44, 45	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	55, 46, 54	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
42	instantiation	55, 56, 47	⊢
	: , : , :
43	instantiation	48, 49, 50	⊢
	: , :
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
48	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
49	instantiation	55, 51, 52	⊢
	: , : , :
50	instantiation	53, 54	⊢
	:
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
52	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
53	theorem		⊢
	proveit.numbers.negation.int_closure
54	instantiation	55, 56, 57	⊢
	: , : , :
55	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements