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	, , , ,  ⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4, 33, 5, 6, 7, 8, 9, 10, 11	, , , ,  ⊢
	: , : , : , : , : , : , : , : , : , :
3	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_disassociation
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
5	instantiation	14	⊢
	: , :
6	instantiation	12, 13	⊢
	:
7	instantiation	14	⊢
	: , :
8	assumption		⊢
9	assumption		⊢
10	instantiation	15, 16	,  ⊢
	:
11	assumption		⊢
12	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	assumption		⊢
16	instantiation	17, 18, 19	⊢
	:
17	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
18	instantiation	34, 20, 32	⊢
	: , : , :
19	instantiation	21, 22	⊢
	: , :
20	instantiation	23, 30, 31	⊢
	: , :
21	theorem		⊢
	proveit.numbers.ordering.relax_less
22	instantiation	24, 25, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
24	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
25	instantiation	27, 28	⊢
	:
26	instantiation	29, 30, 31, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
29	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
30	instantiation	34, 35, 33	⊢
	: , : , :
31	instantiation	34, 35, 36	⊢
	: , : , :
32	assumption		⊢
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat4