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, 12, 13, 14*	, ,  ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	reference	26	⊢
3	reference	37	⊢
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
5	reference	27	⊢
6	instantiation	33	⊢
	: , :
7	instantiation	15	⊢
	: , : , : , : , : , : , : , :
8	reference	36	⊢
9	reference	29	⊢
10	instantiation	45, 41, 16	⊢
	: , : , :
11	instantiation	45, 41, 17	⊢
	: , : , :
12	instantiation	45, 41, 18	⊢
	: , : , :
13	instantiation	45, 41, 19	⊢
	: , : , :
14	instantiation	20, 21, 22*	⊢
	: , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_8_typical_eq
16	instantiation	45, 39, 23	⊢
	: , : , :
17	instantiation	45, 39, 24	⊢
	: , : , :
18	assumption		⊢
19	assumption		⊢
20	theorem		⊢
	proveit.logic.equality.equals_reversal
21	instantiation	25, 26, 37, 47, 27, 28, 29, 36, 30*	⊢
	: , : , : , : , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
23	instantiation	45, 43, 31	⊢
	: , : , :
24	instantiation	45, 43, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
26	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	instantiation	33	⊢
	: , :
29	instantiation	45, 41, 34	⊢
	: , : , :
30	instantiation	35, 36	⊢
	:
31	instantiation	45, 46, 37	⊢
	: , : , :
32	instantiation	45, 46, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
34	instantiation	45, 39, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
36	instantiation	45, 41, 42	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	45, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
42	assumption		⊢
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	45, 46, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements