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	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
4	instantiation	6, 7, 8, 9	,  ⊢
	: , : , :
5	instantiation	10, 11	⊢
	:
6	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
7	instantiation	32, 12, 28	⊢
	: , :
8	instantiation	37, 13	⊢
	:
9	assumption		⊢
10	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
11	instantiation	14, 15	⊢
	:
12	instantiation	37, 33	⊢
	:
13	instantiation	32, 20, 28	⊢
	: , :
14	theorem		⊢
	proveit.numbers.negation.int_neg_closure
15	instantiation	16, 17, 18	⊢
	: , :
16	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
17	instantiation	19, 20, 21	⊢
	:
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
19	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
20	instantiation	39, 22, 30	⊢
	: , : , :
21	instantiation	23, 24, 25	⊢
	: , : , :
22	instantiation	26, 28, 29	⊢
	: , :
23	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
24	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
25	instantiation	27, 28, 29, 30	⊢
	: , : , :
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