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	43	⊢
2	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
3	instantiation	43, 4, 5	,  ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
5	instantiation	19, 6, 7	,  ⊢
	:
6	instantiation	43, 8, 15	,  ⊢
	: , : , :
7	instantiation	25, 9, 10	,  ⊢
	: , : , :
8	instantiation	30, 13, 14	⊢
	: , :
9	instantiation	11, 12	⊢
	:
10	instantiation	31, 13, 14, 15	,  ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
12	instantiation	16, 17, 29	⊢
	: , :
13	instantiation	36, 20, 32	⊢
	: , :
14	instantiation	36, 37, 18	⊢
	: , :
15	assumption		⊢
16	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
17	instantiation	19, 20, 21	⊢
	:
18	instantiation	43, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
20	instantiation	43, 24, 34	⊢
	: , : , :
21	instantiation	25, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
23	instantiation	28, 29	⊢
	:
24	instantiation	30, 32, 33	⊢
	: , :
25	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
26	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
27	instantiation	31, 32, 33, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.negation.int_neg_closure
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
30	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
31	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
32	instantiation	43, 44, 35	⊢
	: , : , :
33	instantiation	36, 37, 38	⊢
	: , :
34	assumption		⊢
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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_minus_one_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.nat2