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Theorem distrmxmx-l
⊦ #r mx1 = #r mx2 ∧ #c mx1 = #c mx2 ∧ #c mx1 = #r mx → (mx1 + mx2) * mx = mx1 * mx + mx2 * 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: 9
Proof steps: 18
Used lemmas:
sum-red
,
sum-add
,
addmx-get
,
multmx-get
,
multmx-colno
,
addmx-colno
,
multmx-rowno
,
addmx-rowno
,
Used spec theorems:
matrix
/
extension
ring
/
distr-l
Used simplifier rules:
nat-basic
/
f
nat-basic
/
lf-01
nat
/
lels
nat
/
fle-01
nat
/
fle
nat-basic
/
refl-nat
nat
/
lez
natset
/
range-def