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, 34, 4, 5	⊢
	: , : , : , : , : , : , : , : , : , :
2	generalization	6	, , ⊢
3	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_distribution_over_summation
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
5	instantiation	7, 16, 9, 10	⊢
	: , : , :
6	instantiation	8, 16, 9, 10, 11, 12, 13, 14	, , , ⊢
	: , : , : , :
7	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
8	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
9	instantiation	17	⊢
	: , : , :
10	instantiation	15, 16	⊢
	:
11	instantiation	17	⊢
	: , : , :
12	assumption		⊢
13	instantiation	18, 19	, ⊢
	:
14	assumption		⊢
15	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
18	assumption		⊢
19	instantiation	20, 21, 22	⊢
	:
20	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
21	instantiation	35, 23, 33	⊢
	: , : , :
22	instantiation	24, 25	⊢
	: , :
23	instantiation	26, 31, 32	⊢
	: , :
24	theorem		⊢
	proveit.numbers.ordering.relax_less
25	instantiation	27, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
27	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
28	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
29	instantiation	30, 31, 32, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
31	instantiation	35, 36, 34	⊢
	: , : , :
32	instantiation	35, 36, 37	⊢
	: , : , :
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat3