Cryptic crossword No 4,028

Across

1. Hardened by firing corrupt council leaders, one enters on horseback (7)
2. Scooped bodice nasty but can’t say no? (7)
3. Rap hits by Sway a bit glam-rock? (8)
4. Flustered pirate forgetting a location of treasure to dig up (6)
5. Due back to bed after falling out (4)
6. Mental nude recollection didn’t go down kindly (10)
7. Marks in rotten food bins strongly rubbed with salt (11)
8. Underestimate adequacy of string along drop (10)
9. Strands of buckwheat apparently originating from Japan (4)
10. Family first tucked into short rib alla brace (6)
11. Possibly held down, that’s right, ready for one’s pleasure (2,6)
12. Lowly author uncovered with makeshift petard to be hoisted (7)
13. Coat and crop top with back support (7)

Down

1. Troops in feral state attempted dispute resolution (3,4)
2. Free Crab and onion sandwiches (7)
3. Poach fish, maybe with leaves (6)
4. Bond with topless stranger (4)
5. To live as wife in late youth is not an extreme situation (7)
6. Thanks given for good mates? (6)
7. Crazy to return old present I held in bare trust (10)
8. Against 49ers pulling Rams’ shirt tops, disgusting! (4)
9. Tight dressage coat and bell bottoms acceptable for rambling (10)
10. Realise bedtime one-on-one lacks energy (6,2)
11. For desserts apple cobbler, stuffed cheeses and fruits (7)
12. Dad is annoyed with library halving paperbacks in children’s collection (8)
13. Could be a blocker if school’s head is forced into post-detention overtime (11)