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, 11	⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
4	reference	71	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	12	⊢
	: , : , :
7	reference	16	⊢
8	reference	19	⊢
9	instantiation	72, 28, 13	⊢
	: , : , :
10	instantiation	14, 15, 16, 17	⊢
	: , :
11	instantiation	18, 19, 20	⊢
	: , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
13	instantiation	21, 22, 23	⊢
	: , :
14	theorem		⊢
	proveit.numbers.division.div_complex_closure
15	instantiation	72, 28, 24	⊢
	: , : , :
16	instantiation	72, 28, 25	⊢
	: , : , :
17	instantiation	26, 66	⊢
	:
18	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
19	instantiation	72, 28, 27	⊢
	: , : , :
20	instantiation	72, 28, 29	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
22	instantiation	30, 31	⊢
	:
23	instantiation	32, 33	⊢
	:
24	instantiation	72, 45, 34	⊢
	: , : , :
25	instantiation	72, 45, 35	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
27	instantiation	72, 36, 37	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	72, 45, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
31	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
32	theorem		⊢
	proveit.numbers.negation.real_closure
33	instantiation	39, 40, 41	⊢
	: , :
34	instantiation	72, 48, 64	⊢
	: , : , :
35	instantiation	72, 48, 42	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
38	instantiation	72, 48, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
40	instantiation	72, 45, 44	⊢
	: , : , :
41	instantiation	72, 45, 46	⊢
	: , : , :
42	instantiation	72, 70, 47	⊢
	: , : , :
43	instantiation	68, 64	⊢
	:
44	instantiation	72, 48, 49	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
46	instantiation	72, 50, 51	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
48	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
49	instantiation	72, 52, 53	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
51	instantiation	54, 55, 56	⊢
	: , :
52	instantiation	57, 58, 69	⊢
	: , :
53	assumption		⊢
54	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
55	instantiation	72, 59, 60	⊢
	: , : , :
56	instantiation	68, 61	⊢
	:
57	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
58	instantiation	62, 63, 64	⊢
	: , :
59	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
60	instantiation	72, 65, 66	⊢
	: , : , :
61	instantiation	72, 73, 67	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
63	instantiation	68, 69	⊢
	:
64	instantiation	72, 70, 71	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
66	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
67	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
68	theorem		⊢
	proveit.numbers.negation.int_closure
69	instantiation	72, 73, 74	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
72	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
73	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
74	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos