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