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, 9, 10	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
3	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
4	instantiation	11	⊢
	: , :
5	instantiation	11	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	reference	13	⊢
8	instantiation	49, 24, 12	⊢
	: , : , :
9	instantiation	14, 13	⊢
	:
10	instantiation	14, 15	⊢
	:
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	16, 33	⊢
	:
13	instantiation	18, 17, 20, 21	⊢
	: , :
14	theorem		⊢
	proveit.numbers.negation.complex_closure
15	instantiation	18, 19, 20, 21	⊢
	: , :
16	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
17	instantiation	49, 24, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.division.div_complex_closure
19	instantiation	49, 24, 23	⊢
	: , : , :
20	instantiation	49, 24, 25	⊢
	: , : , :
21	instantiation	26, 32	⊢
	:
22	instantiation	49, 28, 27	⊢
	: , : , :
23	instantiation	49, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	30, 31, 32	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
27	instantiation	49, 34, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	49, 34, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
31	instantiation	36, 37	⊢
	: , :
32	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
33	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	49, 38, 39	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
38	instantiation	40, 41, 46	⊢
	: , :
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
41	instantiation	42, 43, 44	⊢
	: , :
42	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
43	instantiation	45, 46	⊢
	:
44	instantiation	49, 47, 48	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.negation.int_closure
46	instantiation	49, 50, 51	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
49	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
51	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos