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	30	⊢
2	instantiation	16, 35, 58, 4, 36, 5, 6, 18, 19, 20, 50, 11, 12, 7*	, ,  ⊢
	: , : , : , : , : , :
3	instantiation	16, 64, 57, 59, 8, 9, 10, 50, 11, 12, 13*	, ,  ⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
5	instantiation	14	⊢
	: , : , :
6	instantiation	15	⊢
	: , : , : , : , : , :
7	instantiation	16, 35, 57, 64, 36, 17, 18, 19, 20, 21*	⊢
	: , : , : , : , : , :
8	instantiation	46	⊢
	: , :
9	instantiation	22	⊢
	: , : , : , :
10	instantiation	62, 47, 23	⊢
	: , : , :
11	assumption		⊢
12	assumption		⊢
13	instantiation	24, 25, 26*	⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_6_typical_eq
16	theorem		⊢
	proveit.numbers.addition.association
17	instantiation	46	⊢
	: , :
18	instantiation	62, 47, 27	⊢
	: , : , :
19	instantiation	62, 47, 28	⊢
	: , : , :
20	instantiation	62, 47, 29	⊢
	: , : , :
21	instantiation	30, 31, 32	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
23	instantiation	62, 55, 33	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.equality.equals_reversal
25	instantiation	34, 35, 57, 64, 36, 37, 38, 50, 39*	⊢
	: , : , : , : , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
27	instantiation	62, 55, 40	⊢
	: , : , :
28	instantiation	62, 55, 41	⊢
	: , : , :
29	instantiation	62, 55, 42	⊢
	: , : , :
30	axiom		⊢
	proveit.logic.equality.equals_transitivity
31	instantiation	43, 44	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.add_5_4
33	instantiation	62, 60, 45	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
35	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
36	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
37	instantiation	46	⊢
	: , :
38	instantiation	62, 47, 48	⊢
	: , : , :
39	instantiation	49, 50	⊢
	:
40	instantiation	62, 60, 51	⊢
	: , : , :
41	instantiation	62, 60, 52	⊢
	: , : , :
42	instantiation	62, 60, 53	⊢
	: , : , :
43	axiom		⊢
	proveit.logic.equality.substitution
44	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
45	instantiation	62, 63, 54	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
47	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
48	instantiation	62, 55, 56	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
50	assumption		⊢
51	instantiation	62, 63, 57	⊢
	: , : , :
52	instantiation	62, 63, 58	⊢
	: , : , :
53	instantiation	62, 63, 59	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
56	instantiation	62, 60, 61	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
60	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
61	instantiation	62, 63, 64	⊢
	: , : , :
62	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
63	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
64	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements