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