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	14	⊢
2	instantiation	4, 42, 5, 6, 7, 8	⊢
	: , : , : , :
3	instantiation	9, 64, 42, 25, 10, 26, 11, 12, 13	⊢
	: , : , : , : , : , :
4	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
5	instantiation	32	⊢
	: , :
6	instantiation	32	⊢
	: , :
7	instantiation	14, 15, 16	⊢
	: , : , :
8	instantiation	17, 31	⊢
	:
9	theorem		⊢
	proveit.numbers.addition.disassociation
10	instantiation	32	⊢
	: , :
11	instantiation	18, 19, 20	⊢
	: , : , :
12	instantiation	62, 34, 38	⊢
	: , : , :
13	instantiation	62, 34, 56	⊢
	: , : , :
14	axiom		⊢
	proveit.logic.equality.equals_transitivity
15	instantiation	24, 64, 42, 25, 21, 26, 31, 30, 28	⊢
	: , : , : , : , : , :
16	instantiation	22, 25, 64, 26, 31, 30, 28	⊢
	: , : , : , : , : , : , :
17	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
18	theorem		⊢
	proveit.logic.equality.sub_right_side_into
19	instantiation	29, 23, 28	⊢
	: , :
20	instantiation	24, 25, 42, 64, 26, 27, 30, 31, 28	⊢
	: , : , : , : , : , :
21	instantiation	32	⊢
	: , :
22	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
23	instantiation	29, 30, 31	⊢
	: , :
24	theorem		⊢
	proveit.numbers.multiplication.disassociation
25	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
26	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
27	instantiation	32	⊢
	: , :
28	instantiation	62, 34, 49	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
30	instantiation	62, 34, 33	⊢
	: , : , :
31	instantiation	62, 34, 35	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
33	instantiation	62, 58, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
35	instantiation	37, 38, 56	⊢
	: , :
36	instantiation	62, 60, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
38	instantiation	62, 40, 41	⊢
	: , : , :
39	instantiation	62, 63, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
41	instantiation	43, 44, 45	⊢
	: , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
43	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
44	instantiation	62, 46, 47	⊢
	: , : , :
45	instantiation	48, 49, 50	⊢
	:
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
47	instantiation	62, 51, 52	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
49	instantiation	53, 55, 56, 57	⊢
	: , : , :
50	instantiation	54, 55, 56, 57	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
52	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
56	instantiation	62, 58, 59	⊢
	: , : , :
57	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
59	instantiation	62, 60, 61	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
61	instantiation	62, 63, 64	⊢
	: , : , :
62	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
63	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
64	theorem		⊢
	proveit.numbers.numerals.decimals.nat1