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