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Theorem subset-plusminus
⊦ count(a, bag1) ≠ 0 → (bag0 ⊆ bag1 -- a ↔ bag0 ++ a ⊆ bag1)
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: 7
Proof steps: 16
Used lemmas:
count-del
,
count-subset
,
Used spec theorems:
bag-basic
/
count-other
Used simplifier rules:
nat-basic2
/
oz
nat
/
ls-02
nat-basic1
/
f
nat
/
lels
nat-basic2
/
s
nat
/
ls-01
nat-basic1
/
one-01
nat
/
lels-01
bag-basic
/
count-same
nat
/
succ-01
nat
/
le-ls-simp
nat-basic2
/
a
nat-basic2
/
c
nat
/
sub-base
bag-basic
/
count-other
nat
/
ls-le-simp