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	19	⊢
2	instantiation	19, 4, 5	, ,  ⊢
	: , : , :
3	instantiation	6, 34, 65, 7, 37, 8, 9, 46, 38, 39, 42, 40, 41, 10*	, ,  ⊢
	: , : , : , : , : , :
4	instantiation	19, 11, 12	, ,  ⊢
	: , : , :
5	instantiation	31, 13, 65, 34, 14, 24, 37, 46, 38, 39, 42, 40, 41	, ,  ⊢
	: , : , : , : , : , : , :
6	theorem		⊢
	proveit.numbers.addition.association
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
8	instantiation	44	⊢
	: , :
9	instantiation	15	⊢
	: , : , : , : , : , : , : , :
10	instantiation	16, 17, 18*	⊢
	: , :
11	instantiation	19, 20, 21	, ,  ⊢
	: , : , :
12	instantiation	31, 22, 65, 64, 23, 24, 46, 38, 39, 42, 40, 41	, ,  ⊢
	: , : , : , : , : , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
14	instantiation	25	⊢
	: , : , : , : , : , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_8_typical_eq
16	theorem		⊢
	proveit.logic.equality.equals_reversal
17	instantiation	26, 34, 65, 64, 37, 27, 38, 46, 28*	⊢
	: , : , : , : , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
19	axiom		⊢
	proveit.logic.equality.equals_transitivity
20	instantiation	31, 64, 32, 29, 30, 46, 38, 39, 40, 41, 42	, ,  ⊢
	: , : , : , : , : , : , :
21	instantiation	31, 32, 33, 34, 35, 36, 37, 46, 38, 39, 40, 41, 42	, ,  ⊢
	: , : , : , : , : , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
23	instantiation	43	⊢
	: , : , : , : , : , :
24	instantiation	44	⊢
	: , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_7_typical_eq
26	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
27	instantiation	44	⊢
	: , :
28	instantiation	45, 46	⊢
	:
29	instantiation	47	⊢
	: , : , : , :
30	instantiation	47	⊢
	: , : , : , :
31	theorem		⊢
	proveit.numbers.addition.leftward_commutation
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
34	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
35	instantiation	47	⊢
	: , : , : , :
36	instantiation	48	⊢
	: , : , : , : , :
37	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
38	instantiation	66, 54, 49	⊢
	: , : , :
39	instantiation	66, 54, 50	⊢
	: , : , :
40	instantiation	66, 54, 51	⊢
	: , : , :
41	instantiation	66, 54, 52	⊢
	: , : , :
42	instantiation	66, 54, 53	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_6_typical_eq
44	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
45	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
46	instantiation	66, 54, 55	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
48	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
49	instantiation	66, 58, 56	⊢
	: , : , :
50	instantiation	66, 58, 57	⊢
	: , : , :
51	assumption		⊢
52	assumption		⊢
53	instantiation	66, 58, 59	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
55	assumption		⊢
56	instantiation	66, 62, 60	⊢
	: , : , :
57	instantiation	66, 62, 61	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
59	instantiation	66, 62, 63	⊢
	: , : , :
60	instantiation	66, 67, 64	⊢
	: , : , :
61	instantiation	66, 67, 65	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
63	instantiation	66, 67, 68	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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