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	, , , ⊢
	: , : , : , :
1	theorem		⊢
	proveit.linear_algebra.addition.closure
2	reference	30	⊢
3	instantiation	8, 15, 16, 17	⊢
	: , : , :
4	instantiation	9	⊢
	: , : , :
5	instantiation	14, 15, 16, 17, 10, 19, 11	, ⊢
	: , : , : , :
6	instantiation	14, 15, 16, 17, 12, 19, 13	, ⊢
	: , : , : , :
7	instantiation	14, 15, 16, 17, 18, 19, 20	, ⊢
	: , : , : , :
8	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
10	instantiation	24	⊢
	: , :
11	instantiation	26, 27, 21	⊢
	: , : , :
12	instantiation	24	⊢
	: , :
13	instantiation	26, 27, 22	⊢
	: , : , :
14	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
16	instantiation	24	⊢
	: , :
17	instantiation	23, 30	⊢
	:
18	instantiation	24	⊢
	: , :
19	instantiation	26, 27, 25	⊢
	: , : , :
20	instantiation	26, 27, 28	⊢
	: , : , :
21	assumption		⊢
22	assumption		⊢
23	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	assumption		⊢
26	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
27	instantiation	29, 30, 31	⊢
	: , : , :
28	assumption		⊢
29	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
31	instantiation	32, 33	⊢
	: , :
32	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex