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, 4, 5, 6, 7, 8	⊢
	: , : , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	45	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	16, 9, 18, 19	⊢
	: , :
6	instantiation	46, 22, 10	⊢
	: , : , :
7	instantiation	11, 12	⊢
	:
8	instantiation	13	⊢
	:
9	instantiation	46, 22, 14	⊢
	: , : , :
10	instantiation	15, 25	⊢
	:
11	theorem		⊢
	proveit.numbers.negation.complex_closure
12	instantiation	16, 17, 18, 19	⊢
	: , :
13	axiom		⊢
	proveit.logic.equality.equals_reflexivity
14	instantiation	46, 26, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
16	theorem		⊢
	proveit.numbers.division.div_complex_closure
17	instantiation	46, 22, 21	⊢
	: , : , :
18	instantiation	46, 22, 23	⊢
	: , : , :
19	instantiation	24, 30	⊢
	:
20	instantiation	46, 31, 25	⊢
	: , : , :
21	instantiation	46, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
23	instantiation	28, 29, 30	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
25	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	46, 31, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
29	instantiation	33, 34	⊢
	: , :
30	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	46, 35, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
35	instantiation	37, 38, 43	⊢
	: , :
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
38	instantiation	39, 40, 41	⊢
	: , :
39	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
40	instantiation	42, 43	⊢
	:
41	instantiation	46, 44, 45	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.negation.int_closure
43	instantiation	46, 47, 48	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
48	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos