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Theorem indices-where-in-h
⊦ m ≤ # ar → (n ∈ ar.indicesWhere(φ, m) ↔ n < m ∧ φ(ar[n]))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
indices-where-in
,
map-ifn-at
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 14
Used lemmas:
indiceswhere-rec
,
indiceswhere-base
,
Used spec theorems:
Used simplifier rules:
nat-basic
/
zero-01
list
/nat-list-set/
in-append
list
/nat-list-set/
a
list
/nat-list-set/
app
list
/nat-list-set/
c
nat
/
succ-01
nat-basic
/
c
nat-basic
/
a
nat-basic
/
s-04
nat-basic
/
ls-02
nat-basic
/
lf-02
nat-basic
/
ref
nat
/
fle-01
nat-basic
/
succ
nat-basic
/
lf
nat-basic
/
f
nat
/
lels-02
list
/nat-list-set/
in-17
list
/nat-list-set/
in-empty
nat
/
lels-03
nat
/
lels
nat
/
anti