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	reference	4	⊢
2	instantiation	4, 5, 6	⊢
	: , : , :
3	instantiation	7, 8, 9	⊢
	: , : , :
4	theorem		⊢
	proveit.logic.equality.sub_left_side_into
5	instantiation	10, 37, 65, 13, 11	⊢
	: , : , : , : , :
6	instantiation	12, 37, 65, 16, 13, 18	⊢
	: , : , : , : , : , : , :
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	15, 16, 37, 68, 18, 14	⊢
	: , : , : , : , : , : , :
9	instantiation	15, 37, 65, 16, 17, 18	⊢
	: , : , : , : , : , : , :
10	theorem		⊢
	proveit.logic.sets.enumeration.proper_subset_of_superset
11	instantiation	19, 20, 21	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.sets.enumeration.leftward_permutation
13	instantiation	29	⊢
	: , :
14	instantiation	30	⊢
	: , : , :
15	theorem		⊢
	proveit.logic.sets.enumeration.reduction_right
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	instantiation	29	⊢
	: , :
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	theorem		⊢
	proveit.logic.sets.inclusion.refined_nonmembership
20	instantiation	22, 37, 65, 23	⊢
	: , : , : , :
21	instantiation	24, 68, 25, 26, 27, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.logic.sets.enumeration.subset_eq_of_superset
23	instantiation	29	⊢
	: , :
24	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
25	instantiation	30	⊢
	: , : , :
26	instantiation	31, 32	⊢
	: , :
27	instantiation	36, 65, 68, 33	⊢
	: , :
28	instantiation	36, 65, 34, 35	⊢
	: , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
30	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
31	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
32	instantiation	36, 37, 65, 38	⊢
	: , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
35	instantiation	39, 56, 40, 58, 41, 42*, 43*	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
38	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
39	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
41	instantiation	44, 45	⊢
	:
42	instantiation	48, 46, 47	⊢
	: , : , :
43	instantiation	48, 49, 50	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
45	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
46	instantiation	51, 54	⊢
	:
47	instantiation	53, 54, 52	⊢
	: , :
48	theorem		⊢
	proveit.logic.equality.sub_right_side_into
49	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
50	instantiation	53, 54, 55	⊢
	: , :
51	theorem		⊢
	proveit.numbers.addition.elim_zero_right
52	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
53	theorem		⊢
	proveit.numbers.addition.commutation
54	instantiation	66, 57, 56	⊢
	: , : , :
55	instantiation	66, 57, 58	⊢
	: , : , :
56	instantiation	66, 60, 59	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
58	instantiation	66, 60, 61	⊢
	: , : , :
59	instantiation	66, 63, 62	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
61	instantiation	66, 63, 64	⊢
	: , : , :
62	instantiation	66, 67, 65	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
64	instantiation	66, 67, 68	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
66	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
67	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
68	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements