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Theorem diff-swap
⊦ (bag \ bag0) \ bag1 = (bag \ bag1) \ bag0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 17
Used lemmas:
difference
,
Used spec theorems:
bag-basic
/
extension
Used simplifier rules:
nat
/
elim-sub
nat-basic
/
c
nat-basic
/
a
nat
/
lep
nat-basic
/
z-01
nat
/
le-def
nat-basic
/
f
nat
/
lez
nat
/
sub-base
nat
/
ls-le-simp
nat-basic
/
l-02
nat
/
fle-01
nat-basic
/
lf-02
nat-basic
/
l
nat
/
ls-02
nat-basic
/
eqs
nat-basic
/
l-05
nat-basic
/
less-zero
nat
/
lels-02
nat
/
zero-02
nat-basic
/
zero
nat-basic
/
l-07
nat
/
ls-01
nat
/
fle
nat-basic
/
trans-nat
nat-basic
/
lf
nat-basic
/
succ
nat
/
le-ls-simp