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, 8, 21	⊢
	: , : , : , : , : , : , : , :
2	instantiation	9, 16, 17, 20, 10, 11, 12, 13, 14	, , , , , ⊢
	: , : , : , :
3	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_distribution_over_add
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
7	instantiation	15, 16, 17, 20	⊢
	: , : , :
8	instantiation	18	⊢
	: , :
9	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
10	instantiation	25	⊢
	: , : , : , :
11	assumption		⊢
12	assumption		⊢
13	instantiation	19, 27, 20, 21, 22, 23, 24	, , ⊢
	: , : , : , :
14	assumption		⊢
15	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
17	instantiation	25	⊢
	: , : , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	theorem		⊢
	proveit.linear_algebra.addition.closure
20	instantiation	26, 27	⊢
	:
21	instantiation	28	⊢
	: , : , :
22	assumption		⊢
23	assumption		⊢
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
26	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq