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, 15, 7, 8, 9	, , , ,  ⊢
	: , : , : , : , :
6	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.doubly_scaled_as_singly_scaled
7	instantiation	14, 15, 10, 11	, , ,  ⊢
	: , : , : , :
8	instantiation	54, 46, 12	⊢
	: , : , :
9	instantiation	54, 46, 28	⊢
	: , : , :
10	instantiation	54, 46, 13	⊢
	: , : , :
11	instantiation	14, 15, 16, 17	, ,  ⊢
	: , : , : , :
12	assumption		⊢
13	assumption		⊢
14	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
15	instantiation	18, 21, 22, 23	⊢
	: , : , :
16	instantiation	54, 46, 19	⊢
	: , : , :
17	instantiation	20, 21, 22, 23, 24, 25, 26	,  ⊢
	: , : , : , :
18	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
19	instantiation	27, 28, 29	⊢
	: , :
20	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
22	instantiation	31	⊢
	: , :
23	instantiation	30, 40	⊢
	:
24	instantiation	31	⊢
	: , :
25	instantiation	33, 34, 32	⊢
	: , : , :
26	instantiation	33, 34, 35	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
28	instantiation	54, 37, 36	⊢
	: , : , :
29	instantiation	54, 37, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	assumption		⊢
33	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
34	instantiation	39, 40, 41	⊢
	: , : , :
35	assumption		⊢
36	instantiation	54, 43, 42	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	54, 43, 44	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
41	instantiation	45, 46	⊢
	: , :
42	instantiation	54, 47, 48	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	54, 55, 49	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
47	instantiation	50, 51, 52	⊢
	: , :
48	assumption		⊢
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
50	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
51	instantiation	54, 55, 53	⊢
	: , : , :
52	instantiation	54, 55, 56	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
54	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat4