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Theorem bmin-two-02

⊦ a < b → (∅ ++ b ++ a).butmin = ∅ ++ b

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp, localcut,
Comment:
Used by: bmin-sub-01, bmin-sub-02, bmin-two, bmin-two-04, bmin-two-05, bmin-two-07, bmin-two-08,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: bmin-two-01,
Used spec theorems:
- set-basic/sw
Used simplifier rules:
- oelem/transitivity
- oelem/irreflexivity