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Theorem max-com
⊦ x + x0 ≠ [] → (¬ max(x + x0) ≠ max(x0 + x) ↔ true)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
max-com-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 12
Proof steps: 30
Used lemmas:
max-base
,
max-rec
,
Used spec theorems:
Used simplifier rules:
list
/
e-01
list
/
e-03
list
/
app
list
/
Nil
list
/
app-02-ant
oelem
/
seq
list
/
c
list
/
len-05
nat-basic2
/
succ
list
/
a
nat-basic2
/
a
nat-basic2
/
c
nat-basic2
/
l
nat
/
lels
nat
/
le-add
oelem
/
transitivity
oelem
/
ls-le
oelem
/
nnn
oelem
/
sls
oelem
/
lel
oelem
/
nen
oelem
/
nll
oelem
/
irreflexivity