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Theorem max-subseteq
⊦ bag0 ≠ ∅ ∧ bag0 ⊆ bag1 → ¬ bag1.max < bag0.max
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
bag-rem-notmax
,
max-rem-ls
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 11
Used lemmas:
max-rec
,
Used spec theorems:
Used simplifier rules:
nat
/
gr-def
bag-union
/nat-bag/
subset-plus
bag-basic
/nat-bag/
insert-nonempty
bag-union
/nat-bag/
subset-emp
nat-basic
/
c
nat-basic
/
a
nat-basic
/
nls-fst
nat-basic
/
ls-02
nat-basic
/
succ
nat-basic
/
trans
nat-basic
/
lf
nat-basic
/
f
nat-basic
/
ref
nat
/
fle-01
nat
/
lels