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.ordering.less_complement_is_greater_eq
2	instantiation	43, 22, 4	⊢
	: , : , :
3	instantiation	5, 6, 7, 8	⊢
	: , :
4	instantiation	43, 28, 9	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.modular.mod_abs_real_closure
6	instantiation	10, 11, 12	⊢
	: , :
7	instantiation	43, 22, 13	⊢
	: , : , :
8	instantiation	14, 40	⊢
	:
9	instantiation	43, 15, 16	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
11	instantiation	43, 22, 17	⊢
	: , : , :
12	instantiation	18, 19	⊢
	:
13	instantiation	43, 28, 37	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
15	instantiation	32, 42, 20	⊢
	: , :
16	assumption		⊢
17	instantiation	43, 28, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.negation.real_closure
19	instantiation	43, 22, 23	⊢
	: , : , :
20	instantiation	36, 24, 25	⊢
	: , :
21	instantiation	43, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	43, 28, 29	⊢
	: , : , :
24	instantiation	43, 39, 30	⊢
	: , : , :
25	instantiation	41, 31	⊢
	:
26	instantiation	32, 33, 34	⊢
	: , :
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
30	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
31	instantiation	43, 44, 35	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
33	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
34	instantiation	36, 37, 38	⊢
	: , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
37	instantiation	43, 39, 40	⊢
	: , : , :
38	instantiation	41, 42	⊢
	:
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
40	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
41	theorem		⊢
	proveit.numbers.negation.int_closure
42	instantiation	43, 44, 45	⊢
	: , : , :
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat1