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