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	instantiation	1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12	, , ⊢
	: , : , : , : , : , : , : , : , : , :
1	reference	20	⊢
2	reference	21	⊢
3	reference	22	⊢
4	reference	23	⊢
5	reference	24	⊢
6	reference	25	⊢
7	instantiation	13, 33, 18, 26	⊢
	: , : , :
8	reference	26	⊢
9	instantiation	34	⊢
	: , :
10	instantiation	14, 15, 16	, , ⊢
	: , : , :
11	reference	28	⊢
12	reference	29	⊢
13	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
14	theorem		⊢
	proveit.logic.equality.sub_left_side_into
15	instantiation	17, 33, 18, 26, 19, 28, 29, 30	, , ⊢
	: , : , : , :
16	instantiation	20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30	, , ⊢
	: , : , : , : , : , : , : , : , : , :
17	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
18	instantiation	31	⊢
	: , : , :
19	instantiation	31	⊢
	: , : , :
20	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_disassociation
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
23	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
24	instantiation	34	⊢
	: , :
25	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
26	instantiation	32, 33	⊢
	:
27	instantiation	34	⊢
	: , :
28	assumption		⊢
29	assumption		⊢
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
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