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^*	, , , , , ⊢
	: , : , : , : , : , : , : , : , : , :
1	theorem		⊢
	proveit.linear_algebra.tensors.factor_scalar_from_tensor_prod
2	assumption		⊢
3	reference	15	⊢
4	reference	17	⊢
5	reference	19	⊢
6	reference	20	⊢
7	instantiation	11, 13, 18, 20	⊢
	: , : , :
8	reference	22	⊢
9	instantiation	12, 13, 18, 20, 21, 23, 24, 25, 26	, , , ⊢
	: , : , : , :
10	instantiation	14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26	, , , , ⊢
	: , : , : , : , : , : , : , : , : , :
11	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
12	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
14	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_disassociation
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	instantiation	28	⊢
	: , : , : , :
19	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
20	instantiation	27, 37	⊢
	:
21	instantiation	28	⊢
	: , : , : , :
22	instantiation	33, 34, 29	⊢
	: , : , :
23	instantiation	33, 34, 30	⊢
	: , : , :
24	instantiation	33, 34, 31	⊢
	: , : , :
25	instantiation	33, 34, 32	⊢
	: , : , :
26	instantiation	33, 34, 35	⊢
	: , : , :
27	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
29	assumption		⊢
30	assumption		⊢
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
^*equality replacement requirements