Do these work for core i7 as well? everything else about it checks my requirements.

I don't see why not. The processor shouldn't matter as long as everything else lines up.

Questions & Answers: CMS 32GB (4X8GB) DDR3 12800 1600MHz NON ECC SODIMM Memory Ram Upgrade Compatible with Apple® Imac "Core I5" 3.2 27-Inch (Late 2013) Me088Ll/A - A6

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CMS 32GB (4X8GB) DDR3 12800 1600MHz NON ECC SODIMM Memory Ram Upgrade Compatible with Apple® Imac "Core I5" 3.2 27-Inch (Late 2013) Me088Ll/A - A6

Computer Memory Solutions guarantees compatibility with models provided in description.
Memory Type: SODIMM, 204-Pin
Speed: DDR3-12800, 1600 MHz
4 Piece Kit
Product appearance may vary. Picture for reference only. limited lifetime warranty when bought directly from computer memory solutions