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, 4, 28, 5, 6, 7*	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
4	instantiation	37, 27, 8	⊢
	: , : , :
5	instantiation	37, 9, 10	⊢
	: , : , :
6	instantiation	11, 12	⊢
	:
7	instantiation	13, 21, 14, 15*	⊢
	: , :
8	instantiation	37, 25, 16	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
10	instantiation	37, 17, 18	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
12	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
13	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
14	instantiation	37, 27, 19	⊢
	: , : , :
15	instantiation	20, 21	⊢
	:
16	instantiation	37, 32, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
18	instantiation	37, 23, 24	⊢
	: , : , :
19	instantiation	37, 25, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
21	instantiation	37, 27, 28	⊢
	: , : , :
22	instantiation	37, 38, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
24	instantiation	30, 31	⊢
	:
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
26	instantiation	37, 32, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	34, 35, 36	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
30	theorem		⊢
	proveit.numbers.negation.int_neg_closure
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	37, 38, 39	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
35	instantiation	40, 41	⊢
	: , :
36	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
40	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements