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Theorem k-le-r
⊦ ordered≤(y) ↔ # y ≤ 1 ∨ ¬ y.rest.first < y.first ∧ ordered≤(y.rest)
Type: A user defined theorem
Validity: The proof is valid.
Features: kodkodax,
Comment:
Used by:
ordered-append
,
ordered-postfix
,
ordered-prefix
,
Used by units in proved state:
olist-min-max
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 4
Used lemmas:
le-r
,
app-01
,
le-o
,
le-e
,
Used spec theorems:
Used simplifier rules:
list-data
/
size-01
nat-basic2
/
c
nat-basic2
/
a
list-data
/
l
nat-basic1
/
one-01
nat
/
succ-01
nat-basic2
/
succ
list
/
len-05
list
/
c
list
/
a
list
/
e-01
list
/
app
list-data
/
elim-list-c