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	instantiation	52, 4, 5	⊢
	: , : , :
3	instantiation	6, 7	,  ⊢
	:
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
5	instantiation	52, 8, 41	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
7	instantiation	9, 10, 11	,  ⊢
	:
8	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
9	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
10	instantiation	52, 12, 13	⊢
	: , : , :
11	instantiation	14, 15	,  ⊢
	: , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
13	instantiation	16, 17, 24, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
15	instantiation	19, 20, 21, 22	,  ⊢
	: , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
17	instantiation	23, 24	⊢
	:
18	instantiation	25, 30	⊢
	:
19	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_not_eq_scaledNonzeroInt
20	instantiation	26, 27, 49, 28	⊢
	: , : , : , : , :
21	instantiation	52, 29, 30	⊢
	: , : , :
22	assumption		⊢
23	theorem		⊢
	proveit.numbers.negation.real_closure
24	instantiation	31, 32, 33, 34	⊢
	: , :
25	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
26	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
27	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
28	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
29	instantiation	35, 36, 48	⊢
	: , :
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.division.div_real_closure
32	instantiation	52, 38, 37	⊢
	: , : , :
33	instantiation	52, 38, 39	⊢
	: , : , :
34	instantiation	40, 41	⊢
	:
35	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
36	instantiation	42, 43, 44	⊢
	: , :
37	instantiation	52, 45, 44	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	52, 45, 46	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
42	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
43	instantiation	47, 48	⊢
	:
44	instantiation	52, 50, 49	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
46	instantiation	52, 50, 51	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.negation.int_closure
48	instantiation	52, 53, 54	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
54	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos