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Theorem distrvevecmx
⊦ #r mx = # vec1 ∧ # vec1 = # vec2 → (vec1 + vec2) * mx = vec1 * mx + vec2 * mx
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: 19
Used lemmas:
sum-red
,
sum-add
,
addmvec-get
,
multvecmx-get
,
multvecmx-size
,
addvec-size
,
Used spec theorems:
array
/
Extension
ring
/
distr-l
Used simplifier rules:
nat-basic
/
f
nat
/
fle-01
nat
/
lels
nat
/
ls-le-simp
nat-basic
/
lf-01
nat
/
lez
natset
/
range-def