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	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4, 5	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.equals_transitivity
4	instantiation	6, 10, 34, 64, 12, 7, 14, 15, 13, 16	⊢
	: , : , : , : , : , : , :
5	instantiation	8, 64, 9, 10, 11, 12, 13, 14, 15, 16	⊢
	: , : , : , : , : , :
6	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
7	instantiation	17	⊢
	: , :
8	theorem		⊢
	proveit.numbers.multiplication.association
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	instantiation	18	⊢
	: , : , :
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
14	instantiation	65, 21, 19	⊢
	: , : , :
15	instantiation	65, 21, 20	⊢
	: , : , :
16	instantiation	65, 21, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
19	instantiation	65, 39, 23	⊢
	: , : , :
20	instantiation	65, 24, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	26, 27, 28	⊢
	: , :
23	instantiation	65, 41, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
26	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
27	instantiation	30, 31	⊢
	:
28	instantiation	32, 33	⊢
	:
29	instantiation	65, 63, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.negation.real_closure
31	instantiation	35, 36, 37	⊢
	: , :
32	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
33	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
36	instantiation	65, 39, 38	⊢
	: , : , :
37	instantiation	65, 39, 40	⊢
	: , : , :
38	instantiation	65, 41, 42	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	65, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
42	instantiation	65, 45, 46	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
44	instantiation	47, 48, 49	⊢
	: , :
45	instantiation	50, 51, 62	⊢
	: , :
46	assumption		⊢
47	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
48	instantiation	65, 52, 53	⊢
	: , : , :
49	instantiation	61, 54	⊢
	:
50	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
51	instantiation	55, 56, 57	⊢
	: , :
52	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
53	instantiation	65, 58, 59	⊢
	: , : , :
54	instantiation	65, 66, 60	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
56	instantiation	61, 62	⊢
	:
57	instantiation	65, 63, 64	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
59	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
60	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
61	theorem		⊢
	proveit.numbers.negation.int_closure
62	instantiation	65, 66, 67	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
64	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
65	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
66	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
67	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos