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	41	⊢
2	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
3	instantiation	17, 4, 5	,  ⊢
	:
4	instantiation	41, 6, 13	,  ⊢
	: , : , :
5	instantiation	23, 7, 8	,  ⊢
	: , : , :
6	instantiation	28, 11, 12	⊢
	: , :
7	instantiation	9, 10	⊢
	:
8	instantiation	29, 11, 12, 13	,  ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
10	instantiation	14, 15, 27	⊢
	: , :
11	instantiation	34, 18, 30	⊢
	: , :
12	instantiation	34, 35, 16	⊢
	: , :
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
15	instantiation	17, 18, 19	⊢
	:
16	instantiation	41, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
18	instantiation	41, 22, 32	⊢
	: , : , :
19	instantiation	23, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
21	instantiation	26, 27	⊢
	:
22	instantiation	28, 30, 31	⊢
	: , :
23	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
24	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
25	instantiation	29, 30, 31, 32	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.negation.int_neg_closure
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
28	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
29	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
30	instantiation	41, 42, 33	⊢
	: , : , :
31	instantiation	34, 35, 36	⊢
	: , :
32	assumption		⊢
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
34	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
35	instantiation	41, 37, 38	⊢
	: , : , :
36	instantiation	39, 40	⊢
	:
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
38	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
39	theorem		⊢
	proveit.numbers.negation.int_closure
40	instantiation	41, 42, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat2