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