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Theorem bmin-sub-02
⊦ # s = 2 ∧ s.butmin.min ∈ s0 ∧ s.min ∈ s0 → s ⊆ s0
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: 1
Proof steps: 4
Used lemmas:
bmin-two-01
,
min-two
,
min-one
,
bmin-two-02
,
min-two-01
,
size-two
,
minmax-04
,
Min-in
,
Max-in
,
Min-min
,
Max-max
,
Used spec theorems:
Used simplifier rules:
oelem
/
irreflexivity
oelem
/
nnn
set-basic
/
size-zero-01
set-basic
/
ne-01
oelem
/
sls
set-basic
/
sub-add-03
set-basic
/
sub-one-02