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Theorem preserve-INV-fin
frag*(IOAut(start, step, ext))(sl, al), iNV(sl[0]), ∀ s, a, s0. iNV(s) ∧ step(s, a, s0) → iNV(s0) ⊦ iNV(sl.last)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
IOrefine-conds-imply-IOrefine
,
IObackward-INV-is-leqstarrefine
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 10
Used lemmas:
not-finfrag-empty
,
fragstar-def
,
preserve-INV
,
Used spec theorems:
list-del
/
get-last-nonempty
Used simplifier rules:
stream
/
sel-fin
nat-inf
/
less-fin
stream
/
size-fin
nat-basic
/
c
nat-basic
/
a
nat-basic
/
refl-Nat
nat-basic
/
s-04
nat
/
ls-01
list-data
/
l
nat-basic
/
one-01
nat
/
le-def
nat
/
elim-pred-c
list-getput
/
get-zero-01
list-data
/
elim-add
list
/
c
list
/
a
list
/
e
list
/
app-02
nat-basic
/
eq-01
nat-basic
/
succ
list
/
len-05
nat
/
add-01
nat-basic
/
add-base
nat-basic
/
zero
nat-basic
/
oz