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Theorem Size-insert
⊦ ¬ a ∈ s → #(s ++ a) = # s + 1
Type: An axiom
Validity: The proof is valid.
Features: localcut, simp, localsimp,
Comment:
Used by:
eq-02
,
size-exgr
,
size-ins
,
size-less
,
size-less-01
,
size-one
,
size-one-01
,
size-one-02
,
size-three
,
size-three-01
,
size-three-02
,
size-two
,
size-two-01
,
size-two-02
,
size-two-03
,
size-two-06
,
size-zero-02
,
sizesubl
,
subsize-eq
,
Used by units in proved state:
set-union
,
oseta
,
Proof exists?: No