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Theorem distrvecmxmx
⊦ #r mx1 = # vec ∧ #r mx1 = #r mx2 ∧ #c mx1 = #c mx2 → vec * (mx1 + mx2) = vec * mx1 + vec * mx2
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 10
Proof steps: 20
Used lemmas:
addmx-get
,
sum-red
,
sum-add
,
addmvec-get
,
multvecmx-get
,
addmx-colno
,
addmx-rowno
,
multvecmx-size
,
addvec-size
,
Used spec theorems:
array
/matrixops/
Extension
ring
/
distr-r
Used simplifier rules:
nat-basic
/
f
nat-basic
/
lf-01
nat
/
fle-01
nat
/
lels
nat-basic
/
lf-02
nat-basic
/
lf
nat
/
fle
nat-basic
/
trans-nat
nat-basic
/
ls-02
nat
/
lez
natset
/
range-def