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	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	26	⊢
4	reference	56	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	instantiation	57, 13, 11	⊢
	: , : , :
8	instantiation	57, 13, 12	⊢
	: , : , :
9	instantiation	57, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	57, 31, 15	⊢
	: , : , :
12	instantiation	57, 16, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	18, 19, 20	⊢
	: , :
15	instantiation	57, 33, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
18	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
19	instantiation	22, 23	⊢
	:
20	instantiation	24, 25	⊢
	:
21	instantiation	57, 55, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
23	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
24	theorem		⊢
	proveit.numbers.negation.real_closure
25	instantiation	27, 28, 29	⊢
	: , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
27	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
28	instantiation	57, 31, 30	⊢
	: , : , :
29	instantiation	57, 31, 32	⊢
	: , : , :
30	instantiation	57, 33, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	57, 35, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	57, 37, 38	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
36	instantiation	39, 40, 41	⊢
	: , :
37	instantiation	42, 43, 54	⊢
	: , :
38	assumption		⊢
39	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
40	instantiation	57, 44, 45	⊢
	: , : , :
41	instantiation	53, 46	⊢
	:
42	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
43	instantiation	47, 48, 49	⊢
	: , :
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
45	instantiation	57, 50, 51	⊢
	: , : , :
46	instantiation	57, 58, 52	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
48	instantiation	53, 54	⊢
	:
49	instantiation	57, 55, 56	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
51	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
52	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
53	theorem		⊢
	proveit.numbers.negation.int_closure
54	instantiation	57, 58, 59	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
57	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
59	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos