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Theorem trans
⊦ perm(x, y) ∧ perm(y, z) → perm(x, z)
Type: A user defined theorem
Validity: The proof is valid.
Features: forward, localforward,
Comment:
Used by:
adjoin
,
app-04
,
del-04
,
del-05
,
empty-01
,
papp-02
,
papp-03
,
perm-com1
,
perm-com2
,
perm-del
,
perm-del-01
,
perm-del-in
,
perm-dups-01
,
perm-dups-02
,
perm-dups-03
,
perm-mklist
,
perm-put
,
perm-rec
,
perm-rev-01
,
perm-same-prefix
,
perm-shift-in2
,
perm-shift-out2
,
shift-03
,
subperm
,
subperm-01
,
Used by units in proved state:
olist-sort
,
olist
,
list-perm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas:
oc-zero
,
sym-02
,
msubset
,
perm
,
Used spec theorems:
Used simplifier rules:
nat
/
fle
nat-basic1
/
f
nat
/
lels-01
nat
/
le-ls-simp