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	theorem		⊢
	proveit.logic.equality.equals_reversal
2	modus ponens	3, 4	, ,  ⊢
3	instantiation	5, 13, 14, 6	,  ⊢
	: , : , : , : , : , : , :
4	modus ponens	7, 8	⊢
5	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.distribution_over_vec_sum
6	instantiation	9, 10, 11	,  ⊢
	: , :
7	instantiation	12, 13, 14	⊢
	: , : , : , : , : , :
8	generalization	15	⊢
9	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
10	assumption		⊢
11	assumption		⊢
12	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
14	instantiation	16, 17	⊢
	:
15	instantiation	18, 19	,  ⊢
	:
16	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
18	assumption		⊢
19	instantiation	20, 21, 22	⊢
	:
20	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
21	instantiation	37, 23, 35	⊢
	: , : , :
22	instantiation	24, 25	⊢
	: , :
23	instantiation	26, 33, 34	⊢
	: , :
24	theorem		⊢
	proveit.numbers.ordering.relax_less
25	instantiation	27, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
27	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
28	instantiation	30, 31	⊢
	:
29	instantiation	32, 33, 34, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
32	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
33	instantiation	37, 38, 36	⊢
	: , : , :
34	instantiation	37, 38, 39	⊢
	: , : , :
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat4