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Theorem montrl-equiv
⊦ mon(trf) ↔ (∀ sf, af. mon(⌜λ n. ⌜trf(sf.take(n + 1), af.take(n))⌝ ⌝ ))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
lifttr-cont
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 21
Proof steps: 36
Used lemmas:
montrl-def
,
Used spec theorems:
streamseq-mon-lim
/
mon-def
stream
/
to-unwind-end-inf
stream
/
to-unwind-end-inf2
streamseq-mon-lim
/
mon-lem
list-last
/
prefix
list-getput
/
extension
Used simplifier rules:
stream
/
prefix-bothfin-listprefix
nat-basic
/
a
nat-basic
/
c
stream
/
sel-inf
nat-inf
/
add-comm
nat-inf
/
add-assoc
nat-inf
/
disj-rqui-infty
nat-inf
/
addeqinf-cancel
nat-inf
/
inf-less
stream
/
size-inf
nat-basic
/
eq-01
stream
/
size-inf-to
list
/
a
list-last
/
prefix-app-size-eq
nat-inf
/
less-inf2
nat
/
le-def
list-last
/
prefix-longer-01
list
/
len
nat
/
ls-le-simp
stream
/
get-infto
list-del
/
get-append-less
nat-basic
/
f
list-data
/
l
nat
/
lels
nat
/
fle-01
nat-basic
/
l-02
nat-basic
/
s-04
nat-basic
/
lf-01
nat
/
eqle-one
nat-basic
/
lf
nat
/
fle
nat-basic
/
trans-Nat
nat-basic
/
succ
nat-basic
/
l-06