I have to prove the following statement, however I am getting the error The type of H is not inductive. when trying to use inversion statement: How can I do that correctly? Variables phi: Prop. Secti...

It's a question in software foundation, logic foundation, IndProp.v Here is some definitions. Inductive reg_exp (T : Type) : Type := | EmptySet | EmptyStr | Char (t : T) | App (r1 r2 : reg_exp...

I would like to do a coercion from the type list nat to the type list bool. I would think that this could be done in the following way: From Coq Require Import Lists.List. Definition nat_to_bool (n :...

I've defined the following type which has the exact same structure as option. Inductive optionX A := NoneX | SomeX (a : A). While Check Some 1 correctly infers the type parameter A, Check SomeX 1 pro...