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	reference	65	⊢
2	instantiation	4, 5, 110, 6, 7, 8, 9, 10, 85, 20, 11, 12	⊢
	: , : , : , : , : , :
3	instantiation	74, 13	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.multiplication.association
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	14	⊢
	: , :
9	instantiation	15	⊢
	: , : , :
10	instantiation	16, 59, 85, 17	⊢
	: , :
11	instantiation	108, 91, 18	⊢
	: , : , :
12	instantiation	19, 20, 21	⊢
	: , :
13	instantiation	30, 22, 23	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16	theorem		⊢
	proveit.numbers.division.div_complex_closure
17	instantiation	24, 97	⊢
	:
18	instantiation	25, 26, 27	⊢
	: , :
19	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
20	instantiation	108, 91, 28	⊢
	: , : , :
21	instantiation	108, 91, 29	⊢
	: , : , :
22	instantiation	30, 31, 32	⊢
	: , : , :
23	instantiation	33, 34, 35, 36	⊢
	: , : , : , :
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
25	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
26	instantiation	37, 38	⊢
	:
27	instantiation	39, 40	⊢
	:
28	instantiation	108, 41, 42	⊢
	: , : , :
29	instantiation	108, 99, 43	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.equality.sub_right_side_into
31	instantiation	44, 59, 45, 46	⊢
	: , : , : , : , :
32	instantiation	65, 47, 48	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
34	instantiation	74, 49	⊢
	: , : , :
35	instantiation	74, 49	⊢
	: , : , :
36	instantiation	84, 59	⊢
	:
37	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
38	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
39	theorem		⊢
	proveit.numbers.negation.real_closure
40	instantiation	50, 51, 52	⊢
	: , :
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
43	instantiation	108, 104, 53	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_denom_left
45	instantiation	108, 55, 54	⊢
	: , : , :
46	instantiation	108, 55, 56	⊢
	: , : , :
47	instantiation	74, 57	⊢
	: , : , :
48	instantiation	74, 58	⊢
	: , : , :
49	instantiation	76, 59	⊢
	:
50	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
51	instantiation	108, 99, 60	⊢
	: , : , :
52	instantiation	108, 99, 61	⊢
	: , : , :
53	instantiation	101, 95	⊢
	:
54	instantiation	108, 63, 62	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
56	instantiation	108, 63, 81	⊢
	: , : , :
57	instantiation	74, 64	⊢
	: , : , :
58	instantiation	65, 66, 67	⊢
	: , : , :
59	instantiation	108, 91, 68	⊢
	: , : , :
60	instantiation	108, 104, 69	⊢
	: , : , :
61	instantiation	108, 70, 71	⊢
	: , : , :
62	instantiation	108, 88, 72	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
64	instantiation	73, 85	⊢
	:
65	axiom		⊢
	proveit.logic.equality.equals_transitivity
66	instantiation	74, 75	⊢
	: , : , :
67	instantiation	76, 85	⊢
	:
68	instantiation	108, 99, 77	⊢
	: , : , :
69	instantiation	108, 78, 79	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
71	instantiation	80, 81, 82	⊢
	: , :
72	instantiation	108, 96, 83	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
74	axiom		⊢
	proveit.logic.equality.substitution
75	instantiation	84, 85	⊢
	:
76	theorem		⊢
	proveit.numbers.division.frac_one_denom
77	instantiation	108, 104, 95	⊢
	: , : , :
78	instantiation	86, 87, 102	⊢
	: , :
79	assumption		⊢
80	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
81	instantiation	108, 88, 89	⊢
	: , : , :
82	instantiation	101, 90	⊢
	:
83	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
84	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
85	instantiation	108, 91, 92	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
87	instantiation	93, 94, 95	⊢
	: , :
88	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
89	instantiation	108, 96, 97	⊢
	: , : , :
90	instantiation	108, 106, 98	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
92	instantiation	108, 99, 100	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
94	instantiation	101, 102	⊢
	:
95	instantiation	108, 109, 103	⊢
	: , : , :
96	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
97	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
98	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
99	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
100	instantiation	108, 104, 105	⊢
	: , : , :
101	theorem		⊢
	proveit.numbers.negation.int_closure
102	instantiation	108, 106, 107	⊢
	: , : , :
103	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
104	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
105	instantiation	108, 109, 110	⊢
	: , : , :
106	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
107	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
108	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
109	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
110	theorem		⊢
	proveit.numbers.numerals.decimals.nat2