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	,  ⊢
	: , :
1	theorem		⊢
	proveit.numbers.ordering.relax_less
2	instantiation	3, 4, 5	,  ⊢
	: , : , :
3	axiom		⊢
	proveit.numbers.ordering.transitivity_less_less
4	instantiation	6, 7, 8	,  ⊢
	: , : , :
5	instantiation	9, 40	⊢
	:
6	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
7	instantiation	10, 11, 12, 13	,  ⊢
	: , : , :
8	instantiation	14, 15	⊢
	:
9	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
10	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
11	instantiation	36, 16, 32	⊢
	: , :
12	instantiation	41, 17	⊢
	:
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
15	instantiation	18, 19	⊢
	:
16	instantiation	41, 37	⊢
	:
17	instantiation	36, 24, 32	⊢
	: , :
18	theorem		⊢
	proveit.numbers.negation.int_neg_closure
19	instantiation	20, 21, 22	⊢
	: , :
20	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
21	instantiation	23, 24, 25	⊢
	:
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
23	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
24	instantiation	43, 26, 34	⊢
	: , : , :
25	instantiation	27, 28, 29	⊢
	: , : , :
26	instantiation	30, 32, 33	⊢
	: , :
27	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
28	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
29	instantiation	31, 32, 33, 34	⊢
	: , : , :
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