Interesting cheeses

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Across
  1. 4. Taxi by old hundred
  2. 6. Entrance room to old university of note
  3. 8. Lewis's cat
  4. 10. A hat or East Midlands city
  5. 13. Bishop's right that is!
  6. 14. Tin is followed by shortened story
  7. 15. First of small Asian kings using red apples
  8. 17. Some life talk perhaps
  9. 18. Arm or leg with US food
  10. 19. Daughter's variable with small cake at first
  11. 20. Can and bird combined
Down
  1. 1. Quietly enters an endless French rabbit
  2. 2. Changed a gas
  3. 3. Bird of peace with daughter's beer
  4. 5. Gorge on this?
  5. 7. Small year (abbreviated)
  6. 9. Small slant working
  7. 11. Rome's confusion
  8. 12. Vessel always (according to poet)
  9. 16. Subatomic particle