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	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	4, 5, 6, 7, 8	⊢
	: , : , : , : , :
3	instantiation	25, 9, 10	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_denom_left
5	instantiation	59, 45, 11	⊢
	: , : , :
6	instantiation	59, 45, 12	⊢
	: , : , :
7	instantiation	59, 14, 13	⊢
	: , : , :
8	instantiation	59, 14, 15	⊢
	: , : , :
9	instantiation	34, 16	⊢
	: , : , :
10	instantiation	34, 17	⊢
	: , : , :
11	instantiation	59, 19, 18	⊢
	: , : , :
12	instantiation	59, 19, 20	⊢
	: , : , :
13	instantiation	59, 22, 21	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
15	instantiation	59, 22, 23	⊢
	: , : , :
16	instantiation	34, 24	⊢
	: , : , :
17	instantiation	25, 26, 27	⊢
	: , : , :
18	instantiation	59, 29, 28	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
20	instantiation	59, 29, 49	⊢
	: , : , :
21	instantiation	59, 31, 30	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
23	instantiation	59, 31, 32	⊢
	: , : , :
24	instantiation	33, 42	⊢
	:
25	axiom		⊢
	proveit.logic.equality.equals_transitivity
26	instantiation	34, 35	⊢
	: , : , :
27	instantiation	36, 42	⊢
	:
28	instantiation	59, 37, 38	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	59, 40, 39	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
32	instantiation	59, 40, 52	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
34	axiom		⊢
	proveit.logic.equality.substitution
35	instantiation	41, 42	⊢
	:
36	theorem		⊢
	proveit.numbers.division.frac_one_denom
37	instantiation	43, 44, 54	⊢
	: , :
38	assumption		⊢
39	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
41	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
42	instantiation	59, 45, 46	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
44	instantiation	47, 48, 49	⊢
	: , :
45	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
46	instantiation	50, 51, 52	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
48	instantiation	53, 54	⊢
	:
49	instantiation	59, 55, 56	⊢
	: , : , :
50	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
51	instantiation	57, 58	⊢
	: , :
52	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
53	theorem		⊢
	proveit.numbers.negation.int_closure
54	instantiation	59, 60, 61	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
57	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
59	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
61	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos