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.exponentiation.sqrd_pos_closure
2	reference	5	,  ⊢
3	instantiation	4, 5, 23, 6	,  ⊢
	: , :
4	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
5	instantiation	7, 8, 9	,  ⊢
	: , :
6	instantiation	10, 11	,  ⊢
	: , :
7	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
8	instantiation	63, 31, 12	,  ⊢
	: , : , :
9	instantiation	13, 14	⊢
	:
10	theorem		⊢
	proveit.numbers.addition.subtraction.neg_difference
11	instantiation	47, 15, 16	,  ⊢
	: , : , :
12	instantiation	63, 37, 17	,  ⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.negation.real_closure
14	instantiation	18, 23, 24, 25	⊢
	: , : , :
15	instantiation	19, 20, 21	,  ⊢
	: , : , :
16	instantiation	22, 23, 24, 25	⊢
	: , : , :
17	instantiation	63, 26, 28	,  ⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
19	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
20	instantiation	27, 33, 34, 28	,  ⊢
	: , : , :
21	instantiation	29, 30	⊢
	:
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
24	instantiation	63, 31, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
26	instantiation	50, 33, 34	⊢
	: , :
27	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
28	assumption		⊢
29	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
30	instantiation	35, 36	⊢
	:
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	63, 37, 52	⊢
	: , : , :
33	instantiation	56, 38, 52	⊢
	: , :
34	instantiation	61, 39	⊢
	:
35	theorem		⊢
	proveit.numbers.negation.int_neg_closure
36	instantiation	40, 41, 42	⊢
	: , :
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	61, 57	⊢
	:
39	instantiation	56, 44, 52	⊢
	: , :
40	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
41	instantiation	43, 44, 45	⊢
	:
42	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
43	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
44	instantiation	63, 46, 54	⊢
	: , : , :
45	instantiation	47, 48, 49	⊢
	: , : , :
46	instantiation	50, 52, 53	⊢
	: , :
47	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
48	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
49	instantiation	51, 52, 53, 54	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
51	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
52	instantiation	63, 64, 55	⊢
	: , : , :
53	instantiation	56, 57, 58	⊢
	: , :
54	assumption		⊢
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
56	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
57	instantiation	63, 59, 60	⊢
	: , : , :
58	instantiation	61, 62	⊢
	:
59	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
60	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
61	theorem		⊢
	proveit.numbers.negation.int_closure
62	instantiation	63, 64, 65	⊢
	: , : , :
63	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
64	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
65	theorem		⊢
	proveit.numbers.numerals.decimals.nat2