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Theorem oc-filt
⊦ a ∈ y → #oc(a, filter(x, y)) = #oc(a, x)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp, localcut,
Comment:
Used by:
filter
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 12
Used lemmas:
oc-n
,
one-01
,
one
,
ocappend
,
oc-e
,
Used spec theorems:
list-set
/
filt-y
Used simplifier rules:
list-set
/
filt-e
list
/
c
nat-basic2
/
eq-01
list-set
/
filt-y
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
add-base
list-set
/
filt-n
list
/
a