diff --git a/src/types.jl b/src/types.jl
index 4dcec05..a7464ee 100644
--- a/src/types.jl
+++ b/src/types.jl
@@ -90,7 +90,7 @@ function Base.:(==)(g::AbstractFPGroupElement, h::AbstractFPGroupElement)
     normalform!(g)
     normalform!(h)
     hash(g) != hash(h) && return false
-    return word(g) == word(h)
+    return equality_data(g) == equality_data(h)
 end
 
 function Base.deepcopy_internal(g::FPGroupElement, stackdict::IdDict)