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, 6	⊢
	: , : , : , : , : , : , : , : , : , :
2	generalization	7	, , ⊢
3	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_distribution_over_summation
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
5	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
6	instantiation	8, 17, 10, 11	⊢
	: , : , :
7	instantiation	9, 17, 10, 11, 12, 13, 14, 15	, , , ⊢
	: , : , : , :
8	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
9	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
10	instantiation	18	⊢
	: , : , :
11	instantiation	16, 17	⊢
	:
12	instantiation	18	⊢
	: , : , :
13	assumption		⊢
14	instantiation	19, 20	, ⊢
	:
15	assumption		⊢
16	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
19	assumption		⊢
20	instantiation	21, 22, 23	⊢
	:
21	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
22	instantiation	38, 24, 36	⊢
	: , : , :
23	instantiation	25, 26	⊢
	: , :
24	instantiation	27, 34, 35	⊢
	: , :
25	theorem		⊢
	proveit.numbers.ordering.relax_less
26	instantiation	28, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
28	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
29	instantiation	31, 32	⊢
	:
30	instantiation	33, 34, 35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
33	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
34	instantiation	38, 39, 37	⊢
	: , : , :
35	instantiation	38, 39, 40	⊢
	: , : , :
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat4