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	, , ,  ⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	8, 11, 5, 13, 6, 16, 17, 15, 14	, , ,  ⊢
	: , : , : , : , : , : , :
3	instantiation	8, 10, 9, 11, 7, 13, 14, 16, 17, 15	, , ,  ⊢
	: , : , : , : , : , : , :
4	instantiation	8, 9, 10, 11, 12, 13, 14, 15, 16, 17	, , ,  ⊢
	: , : , : , : , : , : , :
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
6	instantiation	18	⊢
	: , : , :
7	instantiation	19	⊢
	: , :
8	theorem		⊢
	proveit.logic.booleans.disjunction.leftward_commutation
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	instantiation	19	⊢
	: , :
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	assumption		⊢
15	assumption		⊢
16	assumption		⊢
17	assumption		⊢
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq