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Theorem bm-shift
1 < # s ⊦ s.butmin.butmax = s.butmax.butmin
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: 3
Proof steps: 6
Used lemmas:
bmin-del-02
,
min-del
,
minmax-02
,
max-del-01
,
bmax-def
,
minmax-04
,
Min-min
,
Max-max
,
Min-in
,
Max-in
,
Butmax
,
Butmin
,
Used spec theorems:
Used simplifier rules:
oelem
/
irreflexivity
set-basic
/
size-zero-01
set-basic
/
size-zero
nat-basic1
/
one
set-union
/
one-min
set-basic
/
one-size
set-basic
/
in-06
set-union
/
del-e-02