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Theorem unique-elems-rem-notin
⊦ unique-elems(bag) → (m ∈ bag -- n ↔ m ≠ n ∧ m ∈ bag)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
ubi-base
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 6
Proof steps: 15
Used lemmas:
unique-elems
,
Used spec theorems:
bag-union
/nat-bag/
count-del
bag-union
/nat-bag/
in
Used simplifier rules:
bag-union
/nat-bag/
in-rem-notrem
nat
/
elim-pred-c
nat-basic
/
oz
nat
/
one-01
nat-basic
/
a
nat-basic
/
c
nat
/
sub-base