Compatibility of impredicative Set and function extensionality
The Coq FAQ says that function extensionality is consistent with predicative Set. It's not fully clear to me from this whether it's consistent with impredicative Set (or maybe the consistency is unknown in that case).
rewrite works for = but not for <-> (iff) in Coq
Passing patterns to tactics
How to automatically introduce symmetries into Coq hypotheses?
How to save the current goal / subgoal as an `assert` lemma
How to introduce a new existential condition from a witness in Coq?
How to use a custom induction principle in Coq?
How to proof consistency in a COQ theory
Printing a message only if a tactic succeeds
how to rearrange terms in Coq using plus communtativity and associativity?
Proving a theorem in Coq using almost only rewrites - no “cleverness”
MSets of different types interact badly
Defining interval function in Coq
How to introduce a new variable in Coq?
How do I check for convertibility in a tactic producing terms?
Abstracting over the term … leads to a term … which is ill-typed
Calling a functor in with declaration