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