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Theorem pcont-lifted
⊦ lifted(alp)(lf, f) ∧ pmon(alp)(lf) → pcont(lift(alp))(f)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 38
Proof steps: 74
Used lemmas:
pbd-relative-def
,
lift-pred-inf
,
lift-inf
,
lift-pred-fin
,
lift-fin
,
mon-relative-def
,
cont-relative-def
,
lifted-def
,
monl-relative-def
,
Used spec theorems:
streamseq-mon-lim
/
lim-def
streamseq-mon-lim
/
mon-def
stream
/
to-unwind-end-inf
stream
/
prefix-def
list-last
/
prefix
list-getput
/
extension
Used simplifier rules:
stream
/
not-prefix-inf-fin
stream
/
prefix-bothfin-listprefix
stream
/
prefix-inf-inf-equal
stream
/
leq-refl
stream
/
sel-inf
nat-inf
/
less-inf2
stream
/
size-inf
stream
/
fun-nonempty
nat-inf
/
add-comm
nat-inf
/
add-assoc
nat-inf
/
disj-rqui-infty
nat-inf
/
addeqinf-cancel
nat-inf
/
inf-less
list-last
/
prefix-app-size-eq
list
/
a
stream
/
elim-fromto-inf
stream
/
append-assoc
stream
/
appinf-sel
stream
/
infapp-embed
stream
/
append-split-fin
stream
/
to-fin
nat-inf
/
less-fin
stream
/
size-fin
stream
/
fin-finlen-tolen
nat-basic
/
refl-Nat
list-last
/
prefix-trans
stream
/
to-inf
nat-inf
/
less-inf1
list
/
len
stream
/
size-inf-to
nat-basic
/
eq-02
nat-basic
/
z-01
nat-basic
/
a
nat-basic
/
c
stream
/
leq-trans