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	25	⊢
2	instantiation	25, 4, 5	, , ,  ⊢
	: , : , :
3	instantiation	19, 41, 8, 39, 10, 42, 11, 46, 44, 28, 45	, , ,  ⊢
	: , : , : , : , : , : , :
4	instantiation	25, 6, 7	, , ,  ⊢
	: , : , :
5	instantiation	21, 39, 40, 8, 42, 9, 10, 11, 46, 44, 28, 45	, , ,  ⊢
	: , : , : , : , : , :
6	instantiation	12, 13, 14, 15	, , ,  ⊢
	: , : , : , :
7	instantiation	32, 16	, ,  ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
9	instantiation	47	⊢
	: , :
10	instantiation	17	⊢
	: , : , :
11	instantiation	29, 44, 45	,  ⊢
	: , :
12	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
13	instantiation	18, 39, 40, 42, 23, 22, 28, 45, 24, 44	, , ,  ⊢
	: , : , : , : , : , :
14	instantiation	19, 39, 40, 42, 22, 20, 24, 44	, , ,  ⊢
	: , : , : , : , : , : , :
15	instantiation	21, 40, 39, 22, 23, 42, 24, 44, 28, 45	, , ,  ⊢
	: , : , : , : , : , :
16	instantiation	25, 26, 27	, ,  ⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
18	theorem		⊢
	proveit.numbers.multiplication.association
19	theorem		⊢
	proveit.numbers.multiplication.rightward_commutation
20	instantiation	36, 28, 45	,  ⊢
	: , :
21	theorem		⊢
	proveit.numbers.multiplication.disassociation
22	instantiation	47	⊢
	: , :
23	instantiation	47	⊢
	: , :
24	instantiation	29, 30, 31	, ,  ⊢
	: , :
25	axiom		⊢
	proveit.logic.equality.equals_transitivity
26	instantiation	32, 33	,  ⊢
	: , : , :
27	instantiation	34, 35	, ,  ⊢
	: , :
28	assumption		⊢
29	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
30	instantiation	36, 46, 44	,  ⊢
	: , :
31	instantiation	36, 45, 46	,  ⊢
	: , :
32	axiom		⊢
	proveit.logic.equality.substitution
33	instantiation	37, 46, 44	,  ⊢
	: , :
34	theorem		⊢
	proveit.logic.equality.equals_reversal
35	instantiation	38, 39, 40, 41, 42, 43, 44, 45, 46	, ,  ⊢
	: , : , : , : , : , :
36	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
37	theorem		⊢
	proveit.numbers.multiplication.commutation
38	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
39	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
42	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
43	instantiation	47	⊢
	: , :
44	assumption		⊢
45	assumption		⊢
46	assumption		⊢
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq