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.sets.subtraction.membership_folding
2	instantiation	4, 42, 18, 5	⊢
	: , : , : , : , :
3	instantiation	24, 6, 7	⊢
	: , : , :
4	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
5	instantiation	8	⊢
	: , : , :
6	instantiation	9, 39, 10, 11, 12	⊢
	: , : , :
7	instantiation	13, 14	⊢
	: , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
9	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
10	instantiation	15	⊢
	: , :
11	instantiation	16, 17	⊢
	: , :
12	instantiation	22, 39, 18, 19	⊢
	: , :
13	theorem		⊢
	proveit.logic.equality.equals_reversal
14	instantiation	20, 21	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
17	instantiation	22, 42, 39, 23	⊢
	: , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
19	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
20	axiom		⊢
	proveit.logic.equality.substitution
21	instantiation	24, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
23	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
24	theorem		⊢
	proveit.logic.equality.sub_right_side_into
25	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
26	instantiation	27, 28, 29	⊢
	: , :
27	theorem		⊢
	proveit.numbers.addition.commutation
28	instantiation	40, 31, 30	⊢
	: , : , :
29	instantiation	40, 31, 32	⊢
	: , : , :
30	instantiation	40, 34, 33	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
32	instantiation	40, 34, 35	⊢
	: , : , :
33	instantiation	40, 37, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	40, 37, 38	⊢
	: , : , :
36	instantiation	40, 41, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	40, 41, 42	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1