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