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Theorem diff-size
⊦ r ∈ h \ rs → (#(h \ rs) ≤ #((h -- r) \ rs) ↔ false)
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 9
Proof steps: 21
Used lemmas:
rm-size
,
diffs-sw
,
in-diffs
,
diffs-ins
,
diffs-emp
,
Used spec theorems:
map
/
notin-del-notin
Used simplifier rules:
map
/
size
nat
/
pred-03
nat
/
le-def
nat-basic
/
one-01
map
/
empty
map
/
In-empty
nat
/
ls-02
nat
/
succ-01
nat-basic
/
refl-Nat
nat-basic
/
a
nat-basic
/
c
map
/
Del-in
map
/
notin-del-notin
nat
/
elim-pred-c
map
/
Size-empty
nat-basic
/
f
nat-basic
/
lf-02
nat-basic
/
lf-01
nat-basic
/
oz
nat-basic
/
s-04
nat
/
ls-add-not-01