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Theorem min-two-02

⊦ # s = 2 ∧ a ∈ s ∧ a ≠ s.min → ∅ ++ a ++ s.min = s

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: min-two, min-two-01, max-one, max-ifins, minmax-04, Min-in, Max-in, min-less, Min-min, Max-max,
Used spec theorems:
- set-basic/size-two-05
Used simplifier rules: