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Theorem possize-notin
⊦ pos(a, x) = # x ↔ ¬ a ∈ x
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 2
Used lemmas:
pos-equal
,
pos-n
,
pos-y
,
pos-e
,
notin-03
,
Used spec theorems:
Used simplifier rules:
list
/
c
list
/
len-05
nat-basic2
/
succ
list
/
a
list
/
in-rec
nat-basic2
/
z-01
list-data
/
l
nat-basic2
/
a
nat-basic2
/
c
nat-basic2
/
eq-01
list-data
/
size-01
list
/
in-empty