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Theorem valid-indices-indiceswhere-h-strong
⊦ n ≤ # ar ∧ m ∈ ar.indicesWhere(φ, n) → m < n
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
valid-indices-indiceswhere-h
,
valid-indices-nodups-h
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 7
Used lemmas:
indiceswhere-rec
,
indiceswhere-base
,
Used spec theorems:
Used simplifier rules:
nat
/
lels
nat
/
lez
nat-basic
/
f
list
/nat-list-set/
in-append
list
/nat-list-set/
a
list
/nat-list-set/
app
list
/nat-list-set/
c
nat-basic
/
c
nat-basic
/
a
nat
/
succ-01
nat-basic
/
succ
nat
/
lels-03
list
/nat-list-set/
in-empty
list
/nat-list-set/
in-17
nat-basic
/
lf-02
nat-basic
/
lf-01
nat-basic
/
ls-02