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