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*	, , ,  ⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	8, 12, 6, 14, 7, 19, 17, 18, 20	, , ,  ⊢
	: , : , : , : , : , : , :
3	instantiation	8, 13, 9, 12, 15, 14, 17, 18, 20, 19	, , ,  ⊢
	: , : , : , : , : , : , :
4	instantiation	10, 12, 13, 14, 15, 16, 17, 18, 19, 20	, , ,  ⊢
	: , : , : , : , : , :
5	instantiation	11, 12, 13, 14, 15, 16, 17, 18, 19, 20	, , ,  ⊢
	: , : , : , : , : , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
7	instantiation	21	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.multiplication.rightward_commutation
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
10	theorem		⊢
	proveit.numbers.multiplication.association
11	theorem		⊢
	proveit.numbers.multiplication.disassociation
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	22	⊢
	: , :
16	instantiation	22	⊢
	: , :
17	assumption		⊢
18	assumption		⊢
19	assumption		⊢
20	assumption		⊢
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
*equality replacement requirements