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^*	, , , , ⊢
	: , : , : , :
1	reference	27	⊢
2	reference	28	⊢
3	instantiation	36	⊢
	: , :
4	reference	30	⊢
5	reference	11	⊢
6	instantiation	36	⊢
	: , :
7	assumption		⊢
8	instantiation	10, 35, 11, 12, 13, 14, 15	, , , ⊢
	: , : , : , :
9	instantiation	16, 17, 18, 19, 29, 20, 30	⊢
	: , : , : , : , : , : , :
10	theorem		⊢
	proveit.linear_algebra.addition.closure
11	instantiation	21, 28, 29, 30	⊢
	: , : , :
12	instantiation	22	⊢
	: , : , :
13	instantiation	27, 28, 29, 30, 23, 32, 24	, ⊢
	: , : , : , :
14	instantiation	27, 28, 29, 30, 25, 32, 26	, ⊢
	: , : , : , :
15	instantiation	27, 28, 29, 30, 31, 32, 33	, ⊢
	: , : , : , :
16	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_vec_space_disassociation
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
23	instantiation	36	⊢
	: , :
24	assumption		⊢
25	instantiation	36	⊢
	: , :
26	assumption		⊢
27	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
29	instantiation	36	⊢
	: , :
30	instantiation	34, 35	⊢
	:
31	instantiation	36	⊢
	: , :
32	assumption		⊢
33	assumption		⊢
34	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
36	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
^*equality replacement requirements