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	reference	25	⊢
2	instantiation	44, 28, 4	⊢
	: , : , :
3	instantiation	5, 6, 7	⊢
	:
4	instantiation	44, 33, 8	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.exponentiation.sqrd_pos_closure
6	instantiation	9, 38, 10	⊢
	: , :
7	instantiation	20, 11	⊢
	:
8	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
9	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
10	instantiation	44, 12, 15	⊢
	: , : , :
11	instantiation	44, 23, 13	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
13	instantiation	14, 17, 15	⊢
	: , :
14	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
15	instantiation	16, 17, 24, 18	⊢
	: , :
16	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
17	instantiation	44, 28, 19	⊢
	: , : , :
18	instantiation	20, 21	⊢
	:
19	instantiation	44, 33, 22	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
21	instantiation	44, 23, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
24	instantiation	25, 26, 27	⊢
	: , :
25	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
26	instantiation	44, 28, 29	⊢
	: , : , :
27	instantiation	30, 31, 32	⊢
	:
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
29	instantiation	44, 33, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
31	instantiation	35, 37, 38, 39	⊢
	: , : , :
32	instantiation	36, 37, 38, 39	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
34	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
38	instantiation	44, 40, 41	⊢
	: , : , :
39	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
41	instantiation	44, 42, 43	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	44, 45, 46	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat1