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