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Theorem bmin-sub-01

⊦ # s = 2 ∧ s ⊆ s0 → s.butmin.min ∈ 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: 2
Proof steps: 6
Used lemmas: bmin-two-01, min-one, bmin-two-02, minmax-04, Min-in, Max-in, Min-min, Max-max, size-two, min-sub, bmin-two-07, min-subset,
Used spec theorems:
- Used simplifier rules: