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	modus ponens	1, 2	, , , ,  ⊢
1	instantiation	3, 4	⊢
	: , : , : , : , : , : , :
2	generalization	5	, , , ,  ⊢
3	theorem		⊢
	proveit.core_expr_types.lambda_maps.general_lambda_substitution
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
5	instantiation	6, 7, 8, 9, 10	, , , , ,  ⊢
	: , : , : , : , :
6	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.doubly_scaled_as_singly_scaled
7	instantiation	11, 31, 13, 14	⊢
	: , : , :
8	instantiation	12, 31, 13, 14, 15, 16, 17, 18	, , ,  ⊢
	: , : , : , :
9	instantiation	52, 37, 19	⊢
	: , : , :
10	instantiation	52, 37, 20	⊢
	: , : , :
11	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
12	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
13	instantiation	22	⊢
	: , : , :
14	instantiation	21, 31	⊢
	:
15	instantiation	22	⊢
	: , : , :
16	instantiation	25, 26, 23	⊢
	: , : , :
17	instantiation	25, 26, 24	,  ⊢
	: , : , :
18	instantiation	25, 26, 27	⊢
	: , : , :
19	assumption		⊢
20	assumption		⊢
21	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
23	assumption		⊢
24	instantiation	28, 29	,  ⊢
	:
25	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
26	instantiation	30, 31, 32	⊢
	: , : , :
27	assumption		⊢
28	assumption		⊢
29	instantiation	33, 34, 35	⊢
	:
30	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
32	instantiation	36, 37	⊢
	: , :
33	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
34	instantiation	52, 38, 50	⊢
	: , : , :
35	instantiation	39, 40	⊢
	: , :
36	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	instantiation	41, 48, 49	⊢
	: , :
39	theorem		⊢
	proveit.numbers.ordering.relax_less
40	instantiation	42, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
42	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
43	instantiation	45, 46	⊢
	:
44	instantiation	47, 48, 49, 50	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
46	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
47	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
48	instantiation	52, 53, 51	⊢
	: , : , :
49	instantiation	52, 53, 54	⊢
	: , : , :
50	assumption		⊢
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat4