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, 72, 20, 13, 11	⊢
	: , : , : , : , :
6	instantiation	12, 72, 17, 20, 13, 18	⊢
	: , : , : , : , : , : , :
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	14, 72, 17, 20, 18, 15	⊢
	: , : , : , : , : , :
9	instantiation	16, 17, 71, 18	⊢
	: , : , : , : , : , : , :
10	theorem		⊢
	proveit.logic.sets.enumeration.proper_subset_of_superset
11	instantiation	19, 72, 20, 21, 22	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.sets.enumeration.leftward_permutation
13	instantiation	23	⊢
	: , :
14	theorem		⊢
	proveit.logic.sets.enumeration.equal_element_equality
15	assumption		⊢
16	theorem		⊢
	proveit.logic.sets.enumeration.reduction_right
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
20	instantiation	23	⊢
	: , :
21	instantiation	25, 24	⊢
	: , :
22	instantiation	25, 26	⊢
	: , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	instantiation	28, 71, 29, 27	⊢
	: , :
25	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
26	instantiation	28, 72, 29, 30	⊢
	: , :
27	instantiation	35, 59, 36, 31, 32, 33*, 34*	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
30	instantiation	35, 60, 36, 62, 37, 38*, 39*	⊢
	: , : , :
31	instantiation	73, 65, 40	⊢
	: , : , :
32	instantiation	44, 41	⊢
	:
33	instantiation	48, 42, 43	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
35	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
37	instantiation	44, 45	⊢
	:
38	instantiation	48, 46, 47	⊢
	: , : , :
39	instantiation	48, 49, 50	⊢
	: , : , :
40	instantiation	73, 69, 51	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
42	instantiation	53, 52	⊢
	:
43	instantiation	55, 52, 54	⊢
	: , :
44	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
45	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
46	instantiation	53, 56	⊢
	:
47	instantiation	55, 56, 54	⊢
	: , :
48	theorem		⊢
	proveit.logic.equality.sub_right_side_into
49	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
50	instantiation	55, 56, 57	⊢
	: , :
51	instantiation	73, 74, 58	⊢
	: , : , :
52	instantiation	73, 61, 59	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.addition.elim_zero_right
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
55	theorem		⊢
	proveit.numbers.addition.commutation
56	instantiation	73, 61, 60	⊢
	: , : , :
57	instantiation	73, 61, 62	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
59	instantiation	73, 65, 63	⊢
	: , : , :
60	instantiation	73, 65, 64	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
62	instantiation	73, 65, 66	⊢
	: , : , :
63	instantiation	73, 69, 67	⊢
	: , : , :
64	instantiation	73, 69, 68	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
66	instantiation	73, 69, 70	⊢
	: , : , :
67	instantiation	73, 74, 71	⊢
	: , : , :
68	instantiation	73, 74, 72	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
70	instantiation	73, 74, 75	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
72	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
73	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
74	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements