I have seen a lot of Coq tactics that are overlapping each other in function. For example, when you have the exact conclusion in the hypothesis, you can use assumption, apply, exact, trivial, and...

In Coq, when attempting to prove equality of records, is there a tactic that will decompose that into equality of all of its fields? For example, Record R := {x:nat;y:nat}. Variables a b c d : na...