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	5, 4	, ,  ⊢
	: , : , :
3	instantiation	5, 6	, ,  ⊢
	: , : , :
4	instantiation	8, 7	, ,  ⊢
	: , :
5	axiom		⊢
	proveit.logic.equality.substitution
6	instantiation	8, 9	, ,  ⊢
	: , :
7	instantiation	12, 13, 14, 15, 16, 17, 18, 10, 20, 21, 11	, ,  ⊢
	: , : , : , : , : , : , : , : , : , :
8	theorem		⊢
	proveit.logic.equality.equals_reversal
9	instantiation	12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22	, ,  ⊢
	: , : , : , : , : , : , : , : , : , :
10	instantiation	25	⊢
	: , :
11	assumption		⊢
12	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_disassociation
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	instantiation	25	⊢
	: , :
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	23, 24	⊢
	:
19	instantiation	25	⊢
	: , :
20	assumption		⊢
21	assumption		⊢
22	assumption		⊢
23	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq