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, 5	,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
2	instantiation	14, 6	⊢
	:
3	instantiation	7, 9, 15, 10	⊢
	: , : , :
4	reference	15	⊢
5	instantiation	8, 9, 15, 10	⊢
	: , : , :
6	instantiation	22, 11, 12, 13	⊢
	: , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_upper_bound
9	instantiation	14, 15	⊢
	:
10	instantiation	16, 17	⊢
	:
11	instantiation	48, 30, 18	⊢
	: , : , :
12	instantiation	19, 20, 21	⊢
	: , : , :
13	instantiation	32, 21	⊢
	:
14	theorem		⊢
	proveit.numbers.negation.real_closure
15	instantiation	22, 23, 24, 25	⊢
	: , :
16	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_in_interval
17	assumption		⊢
18	instantiation	48, 36, 26	⊢
	: , : , :
19	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
20	instantiation	27, 28	⊢
	: , :
21	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
22	theorem		⊢
	proveit.numbers.division.div_real_closure
23	instantiation	48, 30, 29	⊢
	: , : , :
24	instantiation	48, 30, 31	⊢
	: , : , :
25	instantiation	32, 33	⊢
	:
26	instantiation	48, 34, 35	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
29	instantiation	48, 36, 43	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	48, 36, 37	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
34	instantiation	38, 39, 45	⊢
	: , :
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	48, 46, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
39	instantiation	41, 42, 43	⊢
	: , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
41	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
42	instantiation	44, 45	⊢
	:
43	instantiation	48, 46, 47	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.negation.int_closure
45	instantiation	48, 49, 50	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
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