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.addition.subtraction.neg_difference
2	instantiation	32, 3, 4	,  ⊢
	: , : , :
3	instantiation	5, 6, 7	,  ⊢
	: , : , :
4	instantiation	8, 9, 10, 11	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
6	instantiation	12, 13, 14, 15	,  ⊢
	: , : , :
7	instantiation	16, 17	⊢
	:
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
10	instantiation	48, 18, 19	⊢
	: , : , :
11	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
12	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
13	instantiation	41, 20, 37	⊢
	: , :
14	instantiation	46, 21	⊢
	:
15	assumption		⊢
16	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
17	instantiation	22, 23	⊢
	:
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	48, 24, 37	⊢
	: , : , :
20	instantiation	46, 42	⊢
	:
21	instantiation	41, 29, 37	⊢
	: , :
22	theorem		⊢
	proveit.numbers.negation.int_neg_closure
23	instantiation	25, 26, 27	⊢
	: , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
26	instantiation	28, 29, 30	⊢
	:
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
28	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
29	instantiation	48, 31, 39	⊢
	: , : , :
30	instantiation	32, 33, 34	⊢
	: , : , :
31	instantiation	35, 37, 38	⊢
	: , :
32	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
33	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
34	instantiation	36, 37, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
36	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
37	instantiation	48, 49, 40	⊢
	: , : , :
38	instantiation	41, 42, 43	⊢
	: , :
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
41	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
42	instantiation	48, 44, 45	⊢
	: , : , :
43	instantiation	46, 47	⊢
	:
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
45	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
46	theorem		⊢
	proveit.numbers.negation.int_closure
47	instantiation	48, 49, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2