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Definition df-decpmat 19718
 Description: Define the decomposition of polynomial matrices. This function collects the coefficients of a polynomial matrix belong to the th power of the polynomial variable for each entry of . (Contributed by AV, 2-Dec-2019.)
Assertion
Ref Expression
df-decpmat decompPMat coe1
Distinct variable group:   ,,,

Detailed syntax breakdown of Definition df-decpmat
StepHypRef Expression
1 cdecpmat 19717 . 2 decompPMat
2 vm . . 3
3 vk . . 3
4 cvv 3087 . . 3
5 cn0 10869 . . 3
6 vi . . . 4
7 vj . . . 4
82cv 1436 . . . . . 6
98cdm 4854 . . . . 5
109cdm 4854 . . . 4
113cv 1436 . . . . 5
126cv 1436 . . . . . . 7
137cv 1436 . . . . . . 7
1412, 13, 8co 6305 . . . . . 6
15 cco1 18706 . . . . . 6 coe1
1614, 15cfv 5601 . . . . 5 coe1
1711, 16cfv 5601 . . . 4 coe1
186, 7, 10, 10, 17cmpt2 6307 . . 3 coe1
192, 3, 4, 5, 18cmpt2 6307 . 2 coe1
201, 19wceq 1437 1 decompPMat coe1
 Colors of variables: wff setvar class This definition is referenced by:  decpmatval0  19719  pmatcollpw3lem  19738
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