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	30, 6, 7	, , , ,  ⊢
	: , : , :
6	instantiation	8, 74, 9, 10, 11, 12	, , , ,  ⊢
	: , : , : , :
7	instantiation	14, 15, 16, 18, 39, 13*	, , , ,  ⊢
	: , : , : , : , :
8	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
9	instantiation	53	⊢
	: , :
10	instantiation	53	⊢
	: , :
11	instantiation	28, 45, 46	,  ⊢
	: , :
12	instantiation	14, 15, 16, 51, 52, 17*	, , ,  ⊢
	: , : , : , : , :
13	instantiation	28, 18, 39, 19*	, ,  ⊢
	: , :
14	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.doubly_scaled_as_singly_scaled
15	instantiation	20, 22, 23, 24	⊢
	: , : , :
16	instantiation	21, 22, 23, 24, 25, 26, 27	,  ⊢
	: , : , : , :
17	instantiation	28, 51, 52	,  ⊢
	: , :
18	instantiation	75, 57, 29	,  ⊢
	: , : , :
19	instantiation	30, 31, 32	, ,  ⊢
	: , : , :
20	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
21	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
23	instantiation	53	⊢
	: , :
24	instantiation	33, 48	⊢
	:
25	instantiation	53	⊢
	: , :
26	instantiation	35, 36, 34	⊢
	: , : , :
27	instantiation	35, 36, 37	⊢
	: , : , :
28	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
29	instantiation	38, 54, 60	,  ⊢
	: , :
30	axiom		⊢
	proveit.logic.equality.equals_transitivity
31	instantiation	40, 41, 74, 70, 44, 42, 45, 46, 39	, ,  ⊢
	: , : , : , : , : , :
32	instantiation	40, 74, 41, 42, 43, 44, 45, 46, 51, 52	, ,  ⊢
	: , : , : , : , : , :
33	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
34	assumption		⊢
35	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
36	instantiation	47, 48, 49	⊢
	: , : , :
37	assumption		⊢
38	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
39	instantiation	50, 51, 52	,  ⊢
	: , :
40	theorem		⊢
	proveit.numbers.multiplication.disassociation
41	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
42	instantiation	53	⊢
	: , :
43	instantiation	53	⊢
	: , :
44	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
45	instantiation	75, 57, 54	⊢
	: , : , :
46	instantiation	75, 57, 60	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
48	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
49	instantiation	55, 57	⊢
	: , :
50	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
51	instantiation	75, 57, 56	⊢
	: , : , :
52	instantiation	75, 57, 58	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
54	assumption		⊢
55	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
56	assumption		⊢
57	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
58	instantiation	59, 60, 61	⊢
	: , :
59	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
60	instantiation	75, 63, 62	⊢
	: , : , :
61	instantiation	75, 63, 64	⊢
	: , : , :
62	instantiation	75, 66, 65	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
64	instantiation	75, 66, 67	⊢
	: , : , :
65	instantiation	75, 68, 69	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
67	instantiation	75, 76, 70	⊢
	: , : , :
68	instantiation	71, 72, 73	⊢
	: , :
69	assumption		⊢
70	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
71	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
72	instantiation	75, 76, 74	⊢
	: , : , :
73	instantiation	75, 76, 77	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
75	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
76	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
77	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
*equality replacement requirements