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	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
3	instantiation	4, 5	,  ⊢
	:
4	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
5	instantiation	6, 7, 8	,  ⊢
	:
6	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
7	instantiation	49, 9, 10	⊢
	: , : , :
8	instantiation	11, 12	,  ⊢
	: , :
9	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
10	instantiation	13, 14, 21, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
12	instantiation	16, 17, 18, 19	,  ⊢
	: , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
14	instantiation	20, 21	⊢
	:
15	instantiation	22, 27	⊢
	:
16	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_not_eq_scaledNonzeroInt
17	instantiation	23, 24, 46, 25	⊢
	: , : , : , : , :
18	instantiation	49, 26, 27	⊢
	: , : , :
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.negation.real_closure
21	instantiation	28, 29, 30, 31	⊢
	: , :
22	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
23	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
24	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
25	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
26	instantiation	32, 33, 45	⊢
	: , :
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.division.div_real_closure
29	instantiation	49, 35, 34	⊢
	: , : , :
30	instantiation	49, 35, 36	⊢
	: , : , :
31	instantiation	37, 38	⊢
	:
32	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
33	instantiation	39, 40, 41	⊢
	: , :
34	instantiation	49, 42, 41	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	49, 42, 43	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
38	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
39	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
40	instantiation	44, 45	⊢
	:
41	instantiation	49, 47, 46	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	49, 47, 48	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.negation.int_closure
45	instantiation	49, 50, 51	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
49	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
51	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos