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	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.sets.intersection.nonmembership_folding
2	reference	41	⊢
3	instantiation	5	⊢
	: , :
4	instantiation	6, 7, 8	⊢
	: , :
5	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
6	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_only_left
7	instantiation	9, 51, 20, 10, 11, 12	⊢
	: , : , :
8	instantiation	13, 14	⊢
	: , :
9	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
10	instantiation	17, 15	⊢
	: , :
11	instantiation	17, 16	⊢
	: , :
12	instantiation	17, 18	⊢
	: , :
13	theorem		⊢
	proveit.logic.sets.membership.double_negated_membership
14	instantiation	19, 51, 61, 20	⊢
	: , : , : , : , :
15	instantiation	23, 61, 24, 21	⊢
	: , :
16	instantiation	23, 64, 24, 22	⊢
	: , :
17	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
18	instantiation	23, 51, 24, 25	⊢
	: , :
19	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
20	instantiation	26	⊢
	: , : , :
21	instantiation	31, 52, 32, 27, 28, 29*, 30*	⊢
	: , : , :
22	instantiation	31, 54, 32, 33, 34*, 35*	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
25	theorem		⊢
	proveit.numbers.numerals.decimals.less_3_4
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
27	instantiation	62, 56, 36	⊢
	: , : , :
28	instantiation	40, 37	⊢
	:
29	instantiation	42, 38, 39	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
31	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
33	instantiation	40, 41	⊢
	:
34	instantiation	42, 43, 44	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
36	instantiation	62, 59, 45	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
38	instantiation	47, 46	⊢
	:
39	instantiation	48, 46, 50	⊢
	: , :
40	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
42	theorem		⊢
	proveit.logic.equality.sub_right_side_into
43	instantiation	47, 49	⊢
	:
44	instantiation	48, 49, 50	⊢
	: , :
45	instantiation	62, 63, 51	⊢
	: , : , :
46	instantiation	62, 53, 52	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.addition.elim_zero_right
48	theorem		⊢
	proveit.numbers.addition.commutation
49	instantiation	62, 53, 54	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
52	instantiation	62, 56, 55	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
54	instantiation	62, 56, 57	⊢
	: , : , :
55	instantiation	62, 59, 58	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
57	instantiation	62, 59, 60	⊢
	: , : , :
58	instantiation	62, 63, 61	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
60	instantiation	62, 63, 64	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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.nat2
*equality replacement requirements