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	, , ⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	10, 4, 12, 5, 6, 18, 19, 7, 8, 13, 14, 9, 21	, , ⊢
	: , : , : , : , : , : , : , : , : , :
3	instantiation	10, 11, 12, 18, 19, 20, 13, 14, 21, 22	, , ⊢
	: , : , : , : , : , : , : , : , : , :
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	25	⊢
	: , :
7	instantiation	15, 17, 18, 19	⊢
	: , : , :
8	instantiation	25	⊢
	: , :
9	instantiation	16, 17, 18, 19, 20, 21, 22	, ⊢
	: , : , : , :
10	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_disassociation
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
13	instantiation	25	⊢
	: , :
14	assumption		⊢
15	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
16	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
18	instantiation	25	⊢
	: , :
19	instantiation	23, 24	⊢
	:
20	instantiation	25	⊢
	: , :
21	assumption		⊢
22	assumption		⊢
23	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq