/-! Coercions should ignore the RHS of `^` -/

set_option pp.coercions false
set_option pp.explicit true

/--
info: @HPow.hPow Int Nat Int (@instHPow Int Nat (@instPowNat Int Int.instNatPow)) (@OfNat.ofNat Int 3 (@instOfNat 3))
  (@OfNat.ofNat Nat 2 (instOfNatNat 2)) : Int
-/
#guard_msgs in
#check (3 : Int) ^ 2
-- 3 is Int
-- 2 is Nat

/--
info: @HAdd.hAdd Int Int Int (@instHAdd Int Int.instAdd) (@OfNat.ofNat Int 1 (@instOfNat 1))
  (@HPow.hPow Int Nat Int (@instHPow Int Nat (@instPowNat Int Int.instNatPow)) (@OfNat.ofNat Int 3 (@instOfNat 3))
    (@OfNat.ofNat Nat 2 (instOfNatNat 2))) : Int
-/
#guard_msgs in
#check (1 : Int) + 3 ^ 2
-- 1 is Int
-- 3 is Int
-- 2 is Nat

/--
info: @HAdd.hAdd Int Int Int (@instHAdd Int Int.instAdd) (@OfNat.ofNat Int 1 (@instOfNat 1))
  (@HPow.hPow Int Nat Int (@instHPow Int Nat (@instPowNat Int Int.instNatPow)) (@OfNat.ofNat Int 3 (@instOfNat 3))
    (@OfNat.ofNat Nat 2 (instOfNatNat 2))) : Int
-/
#guard_msgs in
#check (1 + 3 ^ 2 : Int)
-- 1 is Int
-- 3 is Int
-- 2 is Nat