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Theorem ordered-postfix
⊦ x ⊒ x0 ∧ ordered≤(x0) → (¬ ¬ ordered≤(x) ↔ true)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
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:
le-r
,
k-le-r
,
le-e
,
le-o
,
ole-rec
,
cons-02
,
app-01
,
Used spec theorems:
list-last
/
postfix-is-lessOrEqual
Used simplifier rules:
list-last
/
postfix-empty-03
list
/
app
nat
/
lels-01
nat-basic1
/
one
list-data
/
l
list-last
/
postfix-one
list
/
len-02
list
/
c-08
list
/
c-07
list-data
/
elim-list-c
list
/
e-01
list-last
/
postfix-empty
list
/
c-06
list
/
in-14
oelem
/
nen
list
/
in-rec
list
/
c
list
/
less-append
list
/
a