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Theorem dot-assoc
⊦ A.cols = B.rows ∧ B.cols = C.rows → (A * B) * C = A * B * C
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: 8
Proof steps: 16
Used lemmas:
sum-swap
,
dist
,
at-dot
,
cols-dot
,
rows-dot
,
Used spec theorems:
matrix
/
ext
Used simplifier rules:
nat-basic1
/
f
int-mult
/
associativity
int-mult
/
commutativity