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	5, 6, 43, 14, 15, 16, 7, 18, 19, 20, 21	, , , , ,  ⊢
	: , : , : , : , : , : , : , : , : , :
3	instantiation	8	⊢
	:
4	instantiation	9, 10	, , , ,  ⊢
	: , :
5	theorem		⊢
	proveit.linear_algebra.tensors.factor_scalar_from_tensor_prod
6	assumption		⊢
7	instantiation	24	⊢
	: , :
8	axiom		⊢
	proveit.logic.equality.equals_reflexivity
9	theorem		⊢
	proveit.logic.equality.equals_reversal
10	instantiation	11, 12	, , , ,  ⊢
	: , : , :
11	axiom		⊢
	proveit.logic.equality.substitution
12	instantiation	13, 14, 43, 15, 16, 17, 18, 19, 20, 21	, , , ,  ⊢
	: , : , : , : , : , : , : , : , : , :
13	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_disassociation
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
15	instantiation	24	⊢
	: , :
16	instantiation	22, 23	⊢
	:
17	instantiation	24	⊢
	: , :
18	assumption		⊢
19	assumption		⊢
20	instantiation	25, 26	,  ⊢
	:
21	assumption		⊢
22	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
23	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	assumption		⊢
26	instantiation	27, 28, 29	⊢
	:
27	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
28	instantiation	44, 30, 42	⊢
	: , : , :
29	instantiation	31, 32	⊢
	: , :
30	instantiation	33, 40, 41	⊢
	: , :
31	theorem		⊢
	proveit.numbers.ordering.relax_less
32	instantiation	34, 35, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
34	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
35	instantiation	37, 38	⊢
	:
36	instantiation	39, 40, 41, 42	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
38	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
39	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
40	instantiation	44, 45, 43	⊢
	: , : , :
41	instantiation	44, 45, 46	⊢
	: , : , :
42	assumption		⊢
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat4