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Theorem bmin-del-04
⊦ s ≠ ∅ ∧ a ≠ s.min → (s -- a).butmin = s.butmin -- a
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas:
min-del-01
,
bmin-del-05
,
bmin-del-02
,
minmax-04
,
Min-min
,
Max-max
,
Min-in
,
Max-in
,
Butmin
,
Used spec theorems:
set-union
/
delsw-01
Used simplifier rules:
oelem
/
irreflexivity
set-basic
/
ne-01
set-basic
/
size-zero-01
set-union
/
del-e-02
set-union
/
one-min
set-basic
/
one-size
set-basic
/
in-06