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, 12	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
3	reference	48	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	13	⊢
	: , : , :
6	instantiation	14	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	73, 28, 25	⊢
	: , : , :
9	reference	18	⊢
10	instantiation	73, 28, 15	⊢
	: , : , :
11	instantiation	73, 28, 16	⊢
	: , : , :
12	instantiation	17, 18, 19	⊢
	: , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	20, 21, 22	⊢
	: , :
16	instantiation	23, 24, 25, 26	⊢
	: , :
17	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
18	instantiation	73, 28, 27	⊢
	: , : , :
19	instantiation	73, 28, 29	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
21	instantiation	30, 31	⊢
	:
22	instantiation	32, 33	⊢
	:
23	theorem		⊢
	proveit.numbers.division.div_real_closure
24	instantiation	73, 46, 34	⊢
	: , : , :
25	instantiation	73, 46, 35	⊢
	: , : , :
26	instantiation	36, 67	⊢
	:
27	instantiation	73, 37, 38	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	73, 46, 39	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.negation.real_closure
31	instantiation	40, 41, 42	⊢
	: , :
32	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
33	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
34	instantiation	73, 49, 65	⊢
	: , : , :
35	instantiation	73, 49, 43	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
39	instantiation	73, 49, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
41	instantiation	73, 46, 45	⊢
	: , : , :
42	instantiation	73, 46, 47	⊢
	: , : , :
43	instantiation	73, 71, 48	⊢
	: , : , :
44	instantiation	69, 65	⊢
	:
45	instantiation	73, 49, 50	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
47	instantiation	73, 51, 52	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
49	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
50	instantiation	73, 53, 54	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
52	instantiation	55, 56, 57	⊢
	: , :
53	instantiation	58, 59, 70	⊢
	: , :
54	assumption		⊢
55	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
56	instantiation	73, 60, 61	⊢
	: , : , :
57	instantiation	69, 62	⊢
	:
58	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
59	instantiation	63, 64, 65	⊢
	: , :
60	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
61	instantiation	73, 66, 67	⊢
	: , : , :
62	instantiation	73, 74, 68	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
64	instantiation	69, 70	⊢
	:
65	instantiation	73, 71, 72	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
67	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
68	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
69	theorem		⊢
	proveit.numbers.negation.int_closure
70	instantiation	73, 74, 75	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
72	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
73	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
74	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
75	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos