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