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	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
2	instantiation	34, 14, 15, 16	,  ⊢
	: , : , :
3	instantiation	4, 5	,  ⊢
	: , :
4	theorem		⊢
	proveit.numbers.ordering.relax_less
5	instantiation	6, 7, 8	,  ⊢
	: , : , :
6	axiom		⊢
	proveit.numbers.ordering.transitivity_less_less
7	instantiation	9, 10, 11	,  ⊢
	: , : , :
8	instantiation	12, 43	⊢
	:
9	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
10	instantiation	13, 14, 15, 16	,  ⊢
	: , : , :
11	instantiation	17, 18	⊢
	:
12	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
13	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
14	instantiation	39, 19, 35	⊢
	: , :
15	instantiation	44, 20	⊢
	:
16	assumption		⊢
17	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
18	instantiation	21, 22	⊢
	:
19	instantiation	44, 40	⊢
	:
20	instantiation	39, 27, 35	⊢
	: , :
21	theorem		⊢
	proveit.numbers.negation.int_neg_closure
22	instantiation	23, 24, 25	⊢
	: , :
23	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
24	instantiation	26, 27, 28	⊢
	:
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
26	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
27	instantiation	46, 29, 37	⊢
	: , : , :
28	instantiation	30, 31, 32	⊢
	: , : , :
29	instantiation	33, 35, 36	⊢
	: , :
30	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
31	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
32	instantiation	34, 35, 36, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
34	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
35	instantiation	46, 47, 38	⊢
	: , : , :
36	instantiation	39, 40, 41	⊢
	: , :
37	assumption		⊢
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
39	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
40	instantiation	46, 42, 43	⊢
	: , : , :
41	instantiation	44, 45	⊢
	:
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
43	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
44	theorem		⊢
	proveit.numbers.negation.int_closure
45	instantiation	46, 47, 48	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat2