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, 21, 4, 14, 15, 5, 6*, 7*	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
4	instantiation	49, 38, 8	⊢
	: , : , :
5	instantiation	23, 17	⊢
	:
6	instantiation	9, 10, 11, 12*	⊢
	: , :
7	instantiation	13, 21, 39, 14, 15, 16*	⊢
	: , : , :
8	instantiation	45, 46, 17	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
10	instantiation	49, 18, 19	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
12	instantiation	20, 21	⊢
	:
13	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
14	instantiation	22, 30	⊢
	:
15	instantiation	23, 41	⊢
	:
16	instantiation	24, 32, 25, 26*	⊢
	: , :
17	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
19	instantiation	49, 27, 28	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
21	instantiation	49, 38, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.negation.real_closure
23	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
24	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
25	instantiation	49, 38, 30	⊢
	: , : , :
26	instantiation	31, 32	⊢
	:
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
28	instantiation	49, 33, 34	⊢
	: , : , :
29	instantiation	49, 36, 35	⊢
	: , : , :
30	instantiation	49, 36, 37	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
32	instantiation	49, 38, 39	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
34	instantiation	49, 40, 41	⊢
	: , : , :
35	instantiation	49, 43, 42	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	49, 43, 44	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
39	instantiation	45, 46, 47	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
42	instantiation	49, 50, 48	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	49, 50, 51	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
46	instantiation	52, 53	⊢
	: , :
47	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
49	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
52	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements