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