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, 4, 5, 6, 7, 8, 9, 10, 11*	, ,  ⊢
	: , : , : , : , : , :
1	reference	38	⊢
2	reference	39	⊢
3	reference	17	⊢
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
5	reference	40	⊢
6	instantiation	22	⊢
	: , : , : , : , :
7	instantiation	12	⊢
	: , : , : , : , : , :
8	reference	24	⊢
9	assumption		⊢
10	assumption		⊢
11	instantiation	13, 14, 15*	⊢
	: , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_6_typical_eq
13	theorem		⊢
	proveit.logic.equality.equals_reversal
14	instantiation	16, 39, 17, 65, 40, 18, 43, 24, 19*	⊢
	: , : , : , : , : , :
15	instantiation	38, 39, 53, 62, 40, 30, 20, 43, 21*	⊢
	: , : , : , : , : , :
16	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
18	instantiation	22	⊢
	: , : , : , : , :
19	instantiation	23, 24	⊢
	:
20	instantiation	25	⊢
	: , : , :
21	instantiation	50, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
23	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
26	instantiation	57, 28	⊢
	: , : , :
27	instantiation	38, 39, 53, 40, 29, 30, 31, 43, 32*	⊢
	: , : , : , : , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
29	instantiation	46	⊢
	: , :
30	instantiation	46	⊢
	: , :
31	instantiation	63, 48, 33	⊢
	: , : , :
32	instantiation	50, 34, 35	⊢
	: , : , :
33	instantiation	63, 55, 36	⊢
	: , : , :
34	instantiation	57, 37	⊢
	: , : , :
35	instantiation	38, 39, 53, 65, 40, 41, 42, 43, 44*	⊢
	: , : , : , : , : , :
36	instantiation	63, 60, 45	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
38	theorem		⊢
	proveit.numbers.addition.association
39	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
40	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
41	instantiation	46	⊢
	: , :
42	instantiation	63, 48, 47	⊢
	: , : , :
43	instantiation	63, 48, 49	⊢
	: , : , :
44	instantiation	50, 51, 52	⊢
	: , : , :
45	instantiation	63, 64, 53	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
47	instantiation	63, 55, 54	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
49	instantiation	63, 55, 56	⊢
	: , : , :
50	axiom		⊢
	proveit.logic.equality.equals_transitivity
51	instantiation	57, 58	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
54	instantiation	63, 60, 59	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
56	instantiation	63, 60, 61	⊢
	: , : , :
57	axiom		⊢
	proveit.logic.equality.substitution
58	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
59	instantiation	63, 64, 62	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
61	instantiation	63, 64, 65	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
63	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
64	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
65	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements