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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5, 10, 6, 7, 11, 16, 12, 8, 13	⊢
	: , : , : , : , : , :
3	instantiation	9, 10, 53, 11, 16, 12, 13, 14	⊢
	: , : , : , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
6	instantiation	15	⊢
	: , :
7	instantiation	15	⊢
	: , :
8	instantiation	18, 16	⊢
	:
9	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	instantiation	54, 29, 17	⊢
	: , : , :
13	instantiation	18, 19	⊢
	:
14	instantiation	20	⊢
	:
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	instantiation	23, 21, 25, 26	⊢
	: , :
17	instantiation	22, 38	⊢
	:
18	theorem		⊢
	proveit.numbers.negation.complex_closure
19	instantiation	23, 24, 25, 26	⊢
	: , :
20	axiom		⊢
	proveit.logic.equality.equals_reflexivity
21	instantiation	54, 29, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
23	theorem		⊢
	proveit.numbers.division.div_complex_closure
24	instantiation	54, 29, 28	⊢
	: , : , :
25	instantiation	54, 29, 30	⊢
	: , : , :
26	instantiation	31, 37	⊢
	:
27	instantiation	54, 33, 32	⊢
	: , : , :
28	instantiation	54, 33, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	35, 36, 37	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
32	instantiation	54, 39, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	54, 39, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
36	instantiation	41, 42	⊢
	: , :
37	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
38	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	instantiation	54, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
43	instantiation	45, 46, 51	⊢
	: , :
44	assumption		⊢
45	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
46	instantiation	47, 48, 49	⊢
	: , :
47	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
48	instantiation	50, 51	⊢
	:
49	instantiation	54, 52, 53	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.negation.int_closure
51	instantiation	54, 55, 56	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
54	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
56	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos