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Theorem contains-levelsubset
⊦ contains(str, ty, ty0) ∧ level⊆(str, str0) → contains(str0, ty, ty0)
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: 24
Proof steps: 65
Used lemmas:
contains-type-rec
,
contains-one
,
contains-rec-01
,
contains-type-def-nodups
,
Used spec theorems:
list
/javatypes/
firsteq-01
typefuns
/
tdname+ex-def
typefuns
/
tdnameex-def
junkrefs
/
levelsubset-def
Used simplifier rules:
list
/javatypes/
in-06
list
/javatypes/
app-06
list-last
/javatypes/
last-elim
list
/javatypes/
c-03
list
/javatypes/
Nil
list
/javatypes/
len
list-data
/javatypes/
length-rest
nat
/
pred-03
list
/javatypes/
len-02
nat-basic1
/
ref-1
nat-basic1
/
f
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
s
nat
/
ls-01
nat
/
lels-01
nat-basic1
/
one-01
list-data
/javatypes/
l
list-last
/javatypes/
lb
list-last
/javatypes/
butlast-last
list
/javatypes/
inapp-07
list
/javatypes/
ni
fieldspec
/
sel-03
typefuns
/
interfaceex-noclass
typefuns
/
classex-nointerface
typefuns
/
interfaceex-notpredef
typefuns
/
reftype-class
javatype
/
test-10
typefuns
/
typeex-class
typefuns
/
class-le
javatype
/
elim-02
javatype
/
diff
junkrefs
/
levelsubset-typeex
list-dup
/javatypes/
e-01
list
/javatypes/
in-empty
list
/javatypes/
c-05
list
/javatypes/
app
list
/javatypes/
in-17
list
/javatypes/
in-append
list
/javatypes/
in-14
list
/javatypes/
in-15
list
/javatypes/
c
list-data
/javatypes/
elim-list-c
fieldspec
/
elim
list
/javatypes/
e-02
list
/javatypes/
app-02-ant
list
/javatypes/
e
list
/javatypes/
a
list-dup
/javatypes/
dups-cons
list
/javatypes/
Last