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	4	⊢
2	instantiation	4, 5, 6	, , ,  ⊢
	: , : , :
3	instantiation	9, 7	, ,  ⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.equals_transitivity
5	instantiation	9, 8	, ,  ⊢
	: , : , :
6	instantiation	9, 10	, ,  ⊢
	: , : , :
7	instantiation	13, 11	, ,  ⊢
	: , :
8	instantiation	13, 12	, ,  ⊢
	: , :
9	axiom		⊢
	proveit.logic.equality.substitution
10	instantiation	13, 14	, ,  ⊢
	: , :
11	instantiation	19, 20, 21, 22, 23, 24, 25, 15, 27, 28, 16	, ,  ⊢
	: , : , : , : , : , : , : , : , : , :
12	instantiation	19, 20, 21, 22, 23, 24, 25, 17, 27, 28, 18	, ,  ⊢
	: , : , : , : , : , : , : , : , : , :
13	theorem		⊢
	proveit.logic.equality.equals_reversal
14	instantiation	19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29	, ,  ⊢
	: , : , : , : , : , : , : , : , : , :
15	instantiation	32	⊢
	: , :
16	assumption		⊢
17	instantiation	32	⊢
	: , :
18	assumption		⊢
19	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_disassociation
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
22	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
23	instantiation	32	⊢
	: , :
24	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
25	instantiation	30, 31	⊢
	:
26	instantiation	32	⊢
	: , :
27	assumption		⊢
28	assumption		⊢
29	assumption		⊢
30	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq