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.numbers.ordering.transitivity_less_less
2	instantiation	4, 5, 6	,  ⊢
	: , : , :
3	instantiation	7, 38	⊢
	:
4	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
5	instantiation	8, 9, 10, 11	,  ⊢
	: , : , :
6	instantiation	12, 13	⊢
	:
7	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
8	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
9	instantiation	34, 14, 30	⊢
	: , :
10	instantiation	39, 15	⊢
	:
11	assumption		⊢
12	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
13	instantiation	16, 17	⊢
	:
14	instantiation	39, 35	⊢
	:
15	instantiation	34, 22, 30	⊢
	: , :
16	theorem		⊢
	proveit.numbers.negation.int_neg_closure
17	instantiation	18, 19, 20	⊢
	: , :
18	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
19	instantiation	21, 22, 23	⊢
	:
20	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
21	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
22	instantiation	41, 24, 32	⊢
	: , : , :
23	instantiation	25, 26, 27	⊢
	: , : , :
24	instantiation	28, 30, 31	⊢
	: , :
25	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
26	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
27	instantiation	29, 30, 31, 32	⊢
	: , : , :
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