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	⊢
	:
1	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
2	instantiation	3, 4, 5	⊢
	: , :
3	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
4	instantiation	43, 11, 6	⊢
	: , : , :
5	instantiation	7, 8	⊢
	:
6	instantiation	9, 10	⊢
	:
7	theorem		⊢
	proveit.numbers.negation.complex_closure
8	instantiation	43, 11, 12	⊢
	: , : , :
9	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
10	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
12	instantiation	13, 14, 15	⊢
	: , :
13	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
14	instantiation	43, 17, 16	⊢
	: , : , :
15	instantiation	43, 17, 18	⊢
	: , : , :
16	instantiation	43, 19, 20	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	43, 21, 22	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
20	instantiation	43, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
22	instantiation	25, 26, 27	⊢
	: , :
23	instantiation	28, 29, 40	⊢
	: , :
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
26	instantiation	43, 30, 31	⊢
	: , : , :
27	instantiation	39, 32	⊢
	:
28	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
29	instantiation	33, 34, 35	⊢
	: , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
31	instantiation	43, 36, 37	⊢
	: , : , :
32	instantiation	43, 44, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
34	instantiation	39, 40	⊢
	:
35	instantiation	43, 41, 42	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
38	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
39	theorem		⊢
	proveit.numbers.negation.int_closure
40	instantiation	43, 44, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
45	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos