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Theorem min-ins-03

⊦ s.min < a ∧ s ≠ ∅ → (s ++ a).min = s.min

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: min-ins-02,
Used by units in proved state: ostore,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: min-insert, min-ins-01, minmax-04, Min-min, Max-max, Min-in, Max-in,
Used spec theorems:
- Used simplifier rules: