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, 4, 5, 6, 7, 8, 9, 10*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	reference	82	⊢
3	reference	59	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	32	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	reference	29	⊢
8	instantiation	80, 40, 11	⊢
	: , : , :
9	instantiation	80, 40, 12	⊢
	: , : , :
10	instantiation	13, 14, 15	⊢
	: , : , :
11	instantiation	16, 25	⊢
	:
12	instantiation	16, 26	⊢
	:
13	theorem		⊢
	proveit.logic.equality.sub_right_side_into
14	instantiation	23, 17	⊢
	: , :
15	instantiation	18, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.negation.real_closure
17	instantiation	20, 21, 22	⊢
	: , :
18	axiom		⊢
	proveit.logic.equality.substitution
19	instantiation	23, 24	⊢
	: , :
20	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
21	instantiation	80, 40, 25	⊢
	: , : , :
22	instantiation	80, 40, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.logic.equality.equals_reversal
24	instantiation	27, 60, 28, 35, 29, 30, 31	⊢
	: , : , :
25	instantiation	49, 39, 33, 31	⊢
	: , :
26	instantiation	49, 74, 33, 31	⊢
	: , :
27	theorem		⊢
	proveit.numbers.division.distribute_frac_through_sum
28	instantiation	32	⊢
	: , :
29	instantiation	80, 40, 74	⊢
	: , : , :
30	instantiation	80, 40, 33	⊢
	: , : , :
31	instantiation	34, 35, 36, 37	⊢
	: , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
33	instantiation	38, 39, 59	⊢
	: , :
34	theorem		⊢
	proveit.numbers.exponentiation.exp_not_eq_zero
35	instantiation	80, 40, 39	⊢
	: , : , :
36	instantiation	80, 40, 44	⊢
	: , : , :
37	instantiation	41, 42	⊢
	:
38	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
39	instantiation	43, 44, 45	⊢
	: , :
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
42	instantiation	80, 46, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
44	instantiation	80, 76, 48	⊢
	: , : , :
45	instantiation	49, 74, 69, 58	⊢
	: , :
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
47	instantiation	50, 51, 52	⊢
	: , :
48	instantiation	80, 78, 53	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.division.div_real_closure
50	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
51	instantiation	80, 61, 54	⊢
	: , : , :
52	instantiation	55, 56, 57, 58	⊢
	: , :
53	instantiation	80, 81, 59	⊢
	: , : , :
54	instantiation	80, 66, 60	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
56	instantiation	80, 61, 62	⊢
	: , : , :
57	instantiation	63, 69, 70	⊢
	:
58	instantiation	64, 65	⊢
	: , :
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
60	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
62	instantiation	80, 66, 67	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
64	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
65	instantiation	68, 73, 69, 70	⊢
	: , :
66	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
67	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
68	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
69	instantiation	71, 73, 74, 75	⊢
	: , : , :
70	instantiation	72, 73, 74, 75	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
72	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
73	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
74	instantiation	80, 76, 77	⊢
	: , : , :
75	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
77	instantiation	80, 78, 79	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
79	instantiation	80, 81, 82	⊢
	: , : , :
80	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
81	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
82	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements