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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5, 6, 7	⊢
	: , : , : , :
3	instantiation	13, 11, 10, 15, 8, 18	⊢
	: , : , : , : , : , : , :
4	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
5	instantiation	13, 15, 10, 11, 18, 9	⊢
	: , : , : , : , : , : , :
6	instantiation	13, 10, 11, 15, 12, 18	⊢
	: , : , : , : , : , : , :
7	instantiation	13, 14, 15, 16, 17, 18	⊢
	: , : , : , : , : , : , :
8	instantiation	19	⊢
	: , : , :
9	instantiation	19	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
12	instantiation	19	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.sets.enumeration.leftward_permutation
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	instantiation	20	⊢
	: , :
17	instantiation	20	⊢
	: , :
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq