Cryptostasis questions

• COQ identity term which is not eq_refl
• Reason for equality definition in COQ and HOTT
• What does the simpl tactic do in COQ
• Different induction principles for Prop and Type
• Example for different equality proofs
• What is the downside of using functional extensionality in COQ
• Confused by Coq imports
• How does the discriminate tactic work?
• What exactly is a Set in COQ

Cryptostasis answers