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.numbers.ordering.transitivity_less_eq_less_eq
2	instantiation	4, 8, 5, 20, 6	,  ⊢
	: , : , :
3	instantiation	7, 20, 8, 9, 10	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
5	instantiation	11, 13, 20, 14	⊢
	: , : , :
6	instantiation	12, 13, 20, 14	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.addition.weak_bound_via_right_term_bound
8	instantiation	19, 17	⊢
	:
9	instantiation	19, 16	⊢
	:
10	instantiation	15, 16, 17, 18	⊢
	: , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_upper_bound
13	instantiation	19, 20	⊢
	:
14	instantiation	21, 22	⊢
	:
15	theorem		⊢
	proveit.numbers.negation.negated_weak_bound
16	instantiation	30, 26, 25, 23	⊢
	: , :
17	instantiation	30, 27, 25, 23	⊢
	: , :
18	instantiation	24, 25, 26, 27, 28, 29	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.negation.real_closure
20	instantiation	30, 31, 32, 33	⊢
	: , :
21	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_in_interval
22	assumption		⊢
23	instantiation	44, 40	⊢
	:
24	theorem		⊢
	proveit.numbers.division.weak_div_from_numer_bound__pos_denom
25	instantiation	34, 35, 40	⊢
	: , : , :
26	instantiation	63, 42, 36	⊢
	: , : , :
27	instantiation	63, 42, 37	⊢
	: , : , :
28	instantiation	38, 55, 60, 52	⊢
	: , : , :
29	instantiation	39, 40	⊢
	:
30	theorem		⊢
	proveit.numbers.division.div_real_closure
31	instantiation	63, 42, 41	⊢
	: , : , :
32	instantiation	63, 42, 43	⊢
	: , : , :
33	instantiation	44, 45	⊢
	:
34	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
35	instantiation	46, 47	⊢
	: , :
36	instantiation	63, 49, 55	⊢
	: , : , :
37	instantiation	63, 49, 48	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
39	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
40	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
41	instantiation	63, 49, 58	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
43	instantiation	63, 49, 50	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
45	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
46	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
48	instantiation	63, 51, 52	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
50	instantiation	63, 61, 53	⊢
	: , : , :
51	instantiation	54, 55, 60	⊢
	: , :
52	assumption		⊢
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
54	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
55	instantiation	56, 57, 58	⊢
	: , :
56	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
57	instantiation	59, 60	⊢
	:
58	instantiation	63, 61, 62	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.negation.int_closure
60	instantiation	63, 64, 65	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
63	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
64	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
65	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos