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, 4	,  ⊢
	: , :
1	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_int
2	instantiation	42, 5, 12	,  ⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
4	instantiation	6, 7, 8	,  ⊢
	: , : , :
5	instantiation	29, 10, 11	⊢
	: , :
6	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
7	instantiation	9, 10, 11, 12	,  ⊢
	: , : , :
8	instantiation	13, 14	⊢
	:
9	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
10	instantiation	35, 15, 31	⊢
	: , :
11	instantiation	40, 16	⊢
	:
12	assumption		⊢
13	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
14	instantiation	17, 18	⊢
	:
15	instantiation	40, 36	⊢
	:
16	instantiation	35, 23, 31	⊢
	: , :
17	theorem		⊢
	proveit.numbers.negation.int_neg_closure
18	instantiation	19, 20, 21	⊢
	: , :
19	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
20	instantiation	22, 23, 24	⊢
	:
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
22	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
23	instantiation	42, 25, 33	⊢
	: , : , :
24	instantiation	26, 27, 28	⊢
	: , : , :
25	instantiation	29, 31, 32	⊢
	: , :
26	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
27	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
28	instantiation	30, 31, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
30	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
31	instantiation	42, 43, 34	⊢
	: , : , :
32	instantiation	35, 36, 37	⊢
	: , :
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
35	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
36	instantiation	42, 38, 39	⊢
	: , : , :
37	instantiation	40, 41	⊢
	:
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
39	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
40	theorem		⊢
	proveit.numbers.negation.int_closure
41	instantiation	42, 43, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat2