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.disjunction.or_if_only_left
2	instantiation	4, 5, 6	,  ⊢
	: , : , :
3	instantiation	7, 8, 9, 10	⊢
	: , :
4	axiom		⊢
	proveit.numbers.ordering.transitivity_less_less
5	assumption		⊢
6	instantiation	11, 12	⊢
	:
7	theorem		⊢
	proveit.numbers.ordering.not_less_from_less_eq
8	instantiation	51, 13, 14	⊢
	: , : , :
9	instantiation	15, 16, 50	⊢
	: , : , :
10	instantiation	17, 34, 45, 29	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
12	instantiation	18, 19, 20	⊢
	: , :
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
14	instantiation	51, 21, 22	⊢
	: , : , :
15	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
16	instantiation	23, 24	⊢
	: , :
17	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
18	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
19	instantiation	25, 26, 27	⊢
	:
20	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
22	instantiation	51, 28, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
25	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
26	instantiation	51, 30, 40	⊢
	: , : , :
27	instantiation	31, 32, 33	⊢
	: , : , :
28	instantiation	37, 34, 45	⊢
	: , :
29	instantiation	35, 36	⊢
	: , :
30	instantiation	37, 42, 39	⊢
	: , :
31	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
32	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
33	instantiation	38, 42, 39, 40	⊢
	: , : , :
34	instantiation	43, 41, 42	⊢
	: , :
35	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
38	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
39	instantiation	43, 45, 44	⊢
	: , :
40	assumption		⊢
41	instantiation	47, 45	⊢
	:
42	instantiation	51, 52, 46	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
44	instantiation	47, 48	⊢
	:
45	instantiation	51, 49, 50	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
47	theorem		⊢
	proveit.numbers.negation.int_closure
48	instantiation	51, 52, 53	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
50	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
51	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat2