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	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	6, 7	⊢
	:
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	8, 13, 30, 9, 10, 11*	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
7	instantiation	12, 13, 14	⊢
	: , :
8	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
9	instantiation	15, 23	⊢
	:
10	instantiation	16, 17	⊢
	:
11	instantiation	18, 25, 19, 20*	⊢
	: , :
12	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
13	instantiation	38, 29, 21	⊢
	: , : , :
14	instantiation	22, 25	⊢
	:
15	theorem		⊢
	proveit.numbers.negation.real_closure
16	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
18	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
19	instantiation	38, 29, 23	⊢
	: , : , :
20	instantiation	24, 25	⊢
	:
21	instantiation	38, 27, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.negation.complex_closure
23	instantiation	38, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
25	instantiation	38, 29, 30	⊢
	: , : , :
26	instantiation	38, 32, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	38, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	34, 35, 36	⊢
	: , : , :
31	instantiation	38, 39, 37	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	38, 39, 40	⊢
	: , : , :
34	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
35	instantiation	41, 42	⊢
	: , :
36	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
41	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements