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	reference	3	⊢
2	instantiation	3, 4	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.substitution
4	instantiation	5, 6, 7, 8, 9*	⊢
	: , :
5	theorem		⊢
	proveit.numbers.division.div_as_mult
6	instantiation	55, 37, 10	⊢
	: , : , :
7	instantiation	55, 37, 11	⊢
	: , : , :
8	instantiation	21, 18	⊢
	:
9	instantiation	12, 13, 38, 14, 15, 16*	⊢
	: , : , :
10	instantiation	55, 35, 17	⊢
	: , : , :
11	instantiation	43, 44, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
13	instantiation	55, 37, 19	⊢
	: , : , :
14	instantiation	55, 35, 20	⊢
	: , : , :
15	instantiation	21, 22	⊢
	:
16	instantiation	23, 31, 24, 25*	⊢
	: , :
17	instantiation	55, 42, 26	⊢
	: , : , :
18	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
19	instantiation	55, 35, 27	⊢
	: , : , :
20	instantiation	55, 42, 28	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
23	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
24	instantiation	55, 37, 29	⊢
	: , : , :
25	instantiation	30, 31	⊢
	:
26	instantiation	55, 32, 33	⊢
	: , : , :
27	instantiation	55, 42, 34	⊢
	: , : , :
28	instantiation	51, 48	⊢
	:
29	instantiation	55, 35, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
31	instantiation	55, 37, 38	⊢
	: , : , :
32	instantiation	39, 40, 52	⊢
	: , :
33	assumption		⊢
34	instantiation	55, 53, 41	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	55, 42, 48	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	instantiation	43, 44, 45	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
40	instantiation	46, 47, 48	⊢
	: , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
44	instantiation	49, 50	⊢
	: , :
45	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
46	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
47	instantiation	51, 52	⊢
	:
48	instantiation	55, 53, 54	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
51	theorem		⊢
	proveit.numbers.negation.int_closure
52	instantiation	55, 56, 57	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
55	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
57	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements