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