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	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	4, 3	⊢
	: , : , :
3	instantiation	4, 5	⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	6, 7, 8, 9, 10*	⊢
	: , :
6	theorem		⊢
	proveit.numbers.division.div_as_mult
7	instantiation	56, 38, 11	⊢
	: , : , :
8	instantiation	56, 38, 12	⊢
	: , : , :
9	instantiation	22, 19	⊢
	:
10	instantiation	13, 14, 39, 15, 16, 17*	⊢
	: , : , :
11	instantiation	56, 36, 18	⊢
	: , : , :
12	instantiation	44, 45, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
14	instantiation	56, 38, 20	⊢
	: , : , :
15	instantiation	56, 36, 21	⊢
	: , : , :
16	instantiation	22, 23	⊢
	:
17	instantiation	24, 32, 25, 26*	⊢
	: , :
18	instantiation	56, 43, 27	⊢
	: , : , :
19	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
20	instantiation	56, 36, 28	⊢
	: , : , :
21	instantiation	56, 43, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
23	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
24	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
25	instantiation	56, 38, 30	⊢
	: , : , :
26	instantiation	31, 32	⊢
	:
27	instantiation	56, 33, 34	⊢
	: , : , :
28	instantiation	56, 43, 35	⊢
	: , : , :
29	instantiation	52, 49	⊢
	:
30	instantiation	56, 36, 37	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
32	instantiation	56, 38, 39	⊢
	: , : , :
33	instantiation	40, 41, 53	⊢
	: , :
34	assumption		⊢
35	instantiation	56, 54, 42	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
37	instantiation	56, 43, 49	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
39	instantiation	44, 45, 46	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
41	instantiation	47, 48, 49	⊢
	: , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
45	instantiation	50, 51	⊢
	: , :
46	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
47	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
48	instantiation	52, 53	⊢
	:
49	instantiation	56, 54, 55	⊢
	: , : , :
50	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
52	theorem		⊢
	proveit.numbers.negation.int_closure
53	instantiation	56, 57, 58	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
56	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
58	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements