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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5	,  ⊢
	: , : , :
3	instantiation	6, 7	⊢
	:
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	8, 9, 10	,  ⊢
	: , :
6	axiom		⊢
	proveit.logic.booleans.eq_true_intro
7	instantiation	11	⊢
	:
8	theorem		⊢
	proveit.numbers.ordering.less_complement_is_greater_eq
9	instantiation	51, 30, 12	⊢
	: , : , :
10	instantiation	13, 14, 15, 16	⊢
	: , :
11	axiom		⊢
	proveit.logic.equality.equals_reflexivity
12	instantiation	51, 36, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.modular.mod_abs_real_closure
14	instantiation	18, 19, 20	⊢
	: , :
15	instantiation	51, 30, 21	⊢
	: , : , :
16	instantiation	22, 48	⊢
	:
17	instantiation	51, 23, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
19	instantiation	51, 30, 25	⊢
	: , : , :
20	instantiation	26, 27	⊢
	:
21	instantiation	51, 36, 45	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
23	instantiation	40, 50, 28	⊢
	: , :
24	assumption		⊢
25	instantiation	51, 36, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.negation.real_closure
27	instantiation	51, 30, 31	⊢
	: , : , :
28	instantiation	44, 32, 33	⊢
	: , :
29	instantiation	51, 34, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	51, 36, 37	⊢
	: , : , :
32	instantiation	51, 47, 38	⊢
	: , : , :
33	instantiation	49, 39	⊢
	:
34	instantiation	40, 41, 42	⊢
	: , :
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
38	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
39	instantiation	51, 52, 43	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
41	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
42	instantiation	44, 45, 46	⊢
	: , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
44	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
45	instantiation	51, 47, 48	⊢
	: , : , :
46	instantiation	49, 50	⊢
	:
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
48	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
49	theorem		⊢
	proveit.numbers.negation.int_closure
50	instantiation	51, 52, 53	⊢
	: , : , :
51	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat1