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	22	⊢
2	instantiation	39, 4, 5	,  ⊢
	: , :
3	instantiation	6, 7	,  ⊢
	: , :
4	instantiation	46, 8, 19	⊢
	: , : , :
5	instantiation	46, 9, 10	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
7	instantiation	11, 12, 13	,  ⊢
	: , : , :
8	instantiation	33, 14, 40	⊢
	: , :
9	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
10	instantiation	15, 16	⊢
	:
11	theorem		⊢
	proveit.logic.equality.sub_right_side_into
12	instantiation	17, 26	⊢
	: , :
13	instantiation	18, 19, 20*	,  ⊢
	:
14	instantiation	39, 21, 35	⊢
	: , :
15	theorem		⊢
	proveit.numbers.negation.int_neg_closure
16	instantiation	22, 23, 24	⊢
	:
17	theorem		⊢
	proveit.logic.booleans.conjunction.right_from_and
18	theorem		⊢
	proveit.physics.quantum.QPE._modabs_in_full_domain_simp
19	instantiation	25, 26	⊢
	: , :
20	instantiation	27, 28	⊢
	:
21	instantiation	44, 40	⊢
	:
22	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
23	instantiation	46, 29, 37	⊢
	: , : , :
24	instantiation	30, 31, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
28	assumption		⊢
29	instantiation	33, 35, 36	⊢
	: , :
30	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
31	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
32	instantiation	34, 35, 36, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
34	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
35	instantiation	46, 47, 38	⊢
	: , : , :
36	instantiation	39, 40, 41	⊢
	: , :
37	assumption		⊢
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
39	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
40	instantiation	46, 42, 43	⊢
	: , : , :
41	instantiation	44, 45	⊢
	:
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
43	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
44	theorem		⊢
	proveit.numbers.negation.int_closure
45	instantiation	46, 47, 48	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements