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, 24	⊢
	: , : , : , : , : , : , : , :
2	instantiation	9, 16, 17, 23, 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, 23	⊢
	: , : , :
8	instantiation	18	⊢
	: , :
9	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
10	instantiation	28	⊢
	: , : , : , :
11	assumption		⊢
12	instantiation	19, 23, 20, 21	, ⊢
	: , : , : , :
13	instantiation	22, 30, 23, 24, 25, 26, 27	, , ⊢
	: , : , : , :
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	28	⊢
	: , : , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
20	assumption		⊢
21	assumption		⊢
22	theorem		⊢
	proveit.linear_algebra.addition.closure
23	instantiation	29, 30	⊢
	:
24	instantiation	31	⊢
	: , : , :
25	assumption		⊢
26	assumption		⊢
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
29	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq