Show the Proof¶

In [1]:

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

Out[1]:

	step type	requirements	statement
0	modus ponens	1, 2	, , , , ⊢
1	instantiation	3, 4, 5, 6, 7, 15, 8	⊢
	: , : , : , : , : , : , : , :
2	instantiation	25, 26, 12, 28, 14, 9, 10, 11	, , , , ⊢
	: , : , : , :
3	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_factorization_from_add
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	instantiation	19, 26, 12, 28, 14	⊢
	: , : , :
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	34	⊢
	: , :
10	assumption		⊢
11	instantiation	13, 33, 14, 15, 16, 17, 18	, , , ⊢
	: , : , : , :
12	instantiation	34	⊢
	: , :
13	theorem		⊢
	proveit.linear_algebra.addition.closure
14	instantiation	19, 26, 27, 28	⊢
	: , : , :
15	instantiation	20	⊢
	: , : , :
16	instantiation	25, 26, 27, 28, 21, 30, 22	, ⊢
	: , : , : , :
17	instantiation	25, 26, 27, 28, 23, 30, 24	, ⊢
	: , : , : , :
18	instantiation	25, 26, 27, 28, 29, 30, 31	, ⊢
	: , : , : , :
19	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
21	instantiation	34	⊢
	: , :
22	assumption		⊢
23	instantiation	34	⊢
	: , :
24	assumption		⊢
25	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
27	instantiation	34	⊢
	: , :
28	instantiation	32, 33	⊢
	:
29	instantiation	34	⊢
	: , :
30	assumption		⊢
31	assumption		⊢
32	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq