diff --git a/src/DirectProducts.jl b/src/DirectProducts.jl
index fcbda58..8bac17f 100644
--- a/src/DirectProducts.jl
+++ b/src/DirectProducts.jl
@@ -143,7 +143,6 @@ doc"""
 > Checks if two direct product group elements are the same.
 """
 function (==)(g::DirectProductGroupElem, h::DirectProductGroupElem)
-    parent(g) == parent(h) || return false
     g.elts == h.elts || return false
     return true
 end
diff --git a/src/WreathProducts.jl b/src/WreathProducts.jl
index 56d2a07..1b02ed5 100644
--- a/src/WreathProducts.jl
+++ b/src/WreathProducts.jl
@@ -163,7 +163,6 @@ function (==)(G::WreathProduct, H::WreathProduct)
 end
 
 function (==)(g::WreathProductElem, h::WreathProductElem)
-   parent(g) == parent(h) || return false
    g.n == h.n || return false
    g.p == h.p || return false
    return true