A Puzzle

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Across
  1. 2. The hills are alive just to the north
  2. 5. A spa could place the date
  3. 8. An incoming golfing term loses its end
  4. 9. Unscrambled this heat tree could have one too many E's for this play on words
  5. 10. A chained library has a place in UK history
Down
  1. 1. The opposition is sad for its state
  2. 3. The entitled holder wins a discount with this
  3. 4. Possessive meaning of belonging
  4. 6. Hmm Betty, some do have 'em
  5. 7. This lies neither in the past nor future
  6. 11. From sunrise it begins in earnest