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Theorem min-ins-01

⊦ a ∈ s ∧ ¬ b < a → (s ++ b).min = s.min

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: butmin-ins, min-ins-03,
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-q, minmax-04, Min-in, Max-in, Min-min, Max-max,
Used spec theorems:
- Used simplifier rules: