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_left_side_into
2	instantiation	4, 62, 25, 17, 5	⊢
	: , : , : , : , :
3	instantiation	6, 7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.logic.sets.enumeration.proper_subset_of_superset
5	instantiation	9, 62, 17, 10, 11, 12	⊢
	: , : , :
6	axiom		⊢
	proveit.logic.equality.equals_transitivity
7	instantiation	13, 14, 15, 16	⊢
	: , : , : , :
8	instantiation	27, 62, 25, 28, 17, 31	⊢
	: , : , : , : , : , : , :
9	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
10	instantiation	18, 19	⊢
	: , :
11	instantiation	32, 62, 20, 21	⊢
	: , :
12	instantiation	32, 62, 22, 23	⊢
	: , :
13	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
14	instantiation	27, 28, 25, 62, 31, 24	⊢
	: , : , : , : , : , : , :
15	instantiation	27, 25, 62, 28, 26, 31	⊢
	: , : , : , : , : , : , :
16	instantiation	27, 53, 28, 29, 30, 31	⊢
	: , : , : , : , : , : , :
17	instantiation	40	⊢
	: , : , :
18	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
19	instantiation	32, 53, 62, 33	⊢
	: , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
21	instantiation	34, 55, 35, 36, 37, 38*, 39*	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
23	theorem		⊢
	proveit.numbers.numerals.decimals.less_3_4
24	instantiation	40	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
26	instantiation	40	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.enumeration.leftward_permutation
28	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
29	instantiation	41	⊢
	: , :
30	instantiation	41	⊢
	: , :
31	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
32	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
33	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
34	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
36	instantiation	60, 56, 42	⊢
	: , : , :
37	instantiation	43, 44	⊢
	:
38	instantiation	45, 46, 47	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
41	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
42	instantiation	60, 58, 48	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
44	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
45	theorem		⊢
	proveit.logic.equality.sub_right_side_into
46	instantiation	49, 51	⊢
	:
47	instantiation	50, 51, 52	⊢
	: , :
48	instantiation	60, 61, 53	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.addition.elim_zero_right
50	theorem		⊢
	proveit.numbers.addition.commutation
51	instantiation	60, 54, 55	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
55	instantiation	60, 56, 57	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
57	instantiation	60, 58, 59	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
59	instantiation	60, 61, 62	⊢
	: , : , :
60	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements