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