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