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Theorem min-del
⊦ s ≠ ∅ ∧ a ≠ s.min → (s -- a).min = s.min
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
bm-shift
,
bmax-min
,
min-del-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas:
min-q
,
minmax-04
,
Min-min
,
Max-max
,
Min-in
,
Max-in
,
Used spec theorems:
Used simplifier rules:
oelem
/
irreflexivity
set-basic
/
ne-01
set-basic
/
size-zero-01
set-union
/
Delete
set-union
/
del-rax