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	modus ponens	1, 2	, , , , , ⊢
1	instantiation	3, 4, 5, 41, 6, 7	⊢
	: , : , : , : , : , : , : , : , : , :
2	generalization	8	, , , , , ⊢
3	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_distribution_over_summation
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
5	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
6	instantiation	9, 12, 13, 14	⊢
	: , : , :
7	instantiation	10	⊢
	: , : , : , :
8	instantiation	11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21	, , , , , , ⊢
	: , : , : , :
9	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
11	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
12	theorem		⊢
	proveit.numbers.numerals.decimals.posnat6
13	instantiation	24	⊢
	: , : , : , : , : , :
14	instantiation	22, 23	⊢
	:
15	instantiation	24	⊢
	: , : , : , : , : , :
16	assumption		⊢
17	assumption		⊢
18	assumption		⊢
19	assumption		⊢
20	instantiation	25, 26	, ⊢
	:
21	assumption		⊢
22	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
23	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_6_typical_eq
25	assumption		⊢
26	instantiation	27, 28, 29	⊢
	:
27	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
28	instantiation	42, 30, 40	⊢
	: , : , :
29	instantiation	31, 32	⊢
	: , :
30	instantiation	33, 38, 39	⊢
	: , :
31	theorem		⊢
	proveit.numbers.ordering.relax_less
32	instantiation	34, 35, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
34	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
35	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
36	instantiation	37, 38, 39, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
38	instantiation	42, 43, 41	⊢
	: , : , :
39	instantiation	42, 43, 44	⊢
	: , : , :
40	assumption		⊢
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat5