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