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	theorem		⊢
	proveit.logic.equality.sub_left_side_into
2	instantiation	4, 37, 5, 18, 6, 20, 21, 7	, , , , ⊢
	: , : , : , :
3	instantiation	8, 9, 10, 11, 12, 13, 23, 14, 15, 16, 17	, , , , ⊢
	: , : , : , : , : , : , : , : , : , :
4	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
5	instantiation	30	⊢
	: , : , :
6	instantiation	30	⊢
	: , : , :
7	instantiation	22, 37, 18, 24, 31, 32, 35	, , ⊢
	: , : , : , :
8	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_disassociation
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	19	⊢
	: , :
14	instantiation	19	⊢
	: , :
15	instantiation	33, 34, 20	⊢
	: , : , :
16	instantiation	33, 34, 21	⊢
	: , : , :
17	instantiation	22, 37, 23, 24, 25, 26, 27	, , ⊢
	: , : , : , :
18	instantiation	28, 37	⊢
	:
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	assumption		⊢
21	assumption		⊢
22	theorem		⊢
	proveit.linear_algebra.addition.closure
23	instantiation	29, 37	⊢
	:
24	instantiation	30	⊢
	: , : , :
25	instantiation	33, 34, 31	⊢
	: , : , :
26	instantiation	33, 34, 32	⊢
	: , : , :
27	instantiation	33, 34, 35	⊢
	: , : , :
28	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
29	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
30	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
31	assumption		⊢
32	assumption		⊢
33	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
34	instantiation	36, 37, 38	⊢
	: , : , :
35	assumption		⊢
36	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
38	instantiation	39, 40	⊢
	: , :
39	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex