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.negation.real_closure
2	instantiation	12, 38, 3	⊢
	: , :
3	instantiation	4, 5, 6, 7	⊢
	: , :
4	theorem		⊢
	proveit.numbers.division.div_real_closure
5	instantiation	20, 8, 46	⊢
	: , :
6	instantiation	9, 17, 10	⊢
	: , :
7	instantiation	22, 11	⊢
	:
8	instantiation	12, 13, 38	⊢
	: , :
9	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
11	instantiation	52, 26, 14	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
13	instantiation	52, 48, 15	⊢
	: , : , :
14	instantiation	16, 17, 18	⊢
	:
15	instantiation	52, 50, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.exponentiation.sqrd_pos_closure
17	instantiation	20, 21, 46	⊢
	: , :
18	instantiation	22, 23	⊢
	:
19	instantiation	52, 53, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
21	instantiation	52, 25, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
23	instantiation	52, 26, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
27	instantiation	28, 29, 30	⊢
	: , :
28	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
29	instantiation	31, 32, 33	⊢
	: , :
30	instantiation	52, 35, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
32	instantiation	52, 35, 36	⊢
	: , : , :
33	instantiation	37, 38, 39	⊢
	:
34	instantiation	52, 41, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
36	instantiation	52, 41, 42	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
38	instantiation	43, 45, 46, 47	⊢
	: , : , :
39	instantiation	44, 45, 46, 47	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
42	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
46	instantiation	52, 48, 49	⊢
	: , : , :
47	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
49	instantiation	52, 50, 51	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
51	instantiation	52, 53, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat1