diff --git a/NDTensors/src/lib/BlockSparseArrays/ext/BlockSparseArraysGradedAxesExt/test/runtests.jl b/NDTensors/src/lib/BlockSparseArrays/ext/BlockSparseArraysGradedAxesExt/test/runtests.jl
index 67cf96de00..585dbb5afe 100644
--- a/NDTensors/src/lib/BlockSparseArrays/ext/BlockSparseArraysGradedAxesExt/test/runtests.jl
+++ b/NDTensors/src/lib/BlockSparseArrays/ext/BlockSparseArraysGradedAxesExt/test/runtests.jl
@@ -141,8 +141,8 @@ const elts = (Float32, Float64, Complex{Float32}, Complex{Float64})
       end
       @test axes(a') == dual.(reverse(axes(a)))
 
-      @test isdual(axes(a', 1)) ⊻ isdual(axes(a, 2))
-      @test isdual(axes(a', 2)) ⊻ isdual(axes(a, 1))
+      @test isdual(axes(a', 1)) ≠ isdual(axes(a, 2))
+      @test isdual(axes(a', 2)) ≠ isdual(axes(a, 1))
       @test isnothing(show(devnull, MIME("text/plain"), a))
 
       # Check preserving dual in tensor algebra.
diff --git a/NDTensors/src/lib/GradedAxes/src/gradedunitrange.jl b/NDTensors/src/lib/GradedAxes/src/gradedunitrange.jl
index 036efd9c0f..0bd35707a7 100644
--- a/NDTensors/src/lib/GradedAxes/src/gradedunitrange.jl
+++ b/NDTensors/src/lib/GradedAxes/src/gradedunitrange.jl
@@ -31,7 +31,8 @@ using ..LabelledNumbers:
   labelled_isequal,
   unlabel
 
-abstract type AbstractGradedUnitRange{T,CS} <: AbstractBlockedUnitRange{T,CS} end
+abstract type AbstractGradedUnitRange{T,BlockLasts} <:
+              AbstractBlockedUnitRange{T,BlockLasts} end
 
 struct GradedUnitRange{T,BlockLasts<:Vector{T}} <: AbstractGradedUnitRange{T,BlockLasts}
   first::T
@@ -42,14 +43,14 @@ struct GradedOneTo{T,BlockLasts<:Vector{T}} <: AbstractGradedUnitRange{T,BlockLa
   lasts::BlockLasts
 
   # assume that lasts is sorted, no checks carried out here
-  function GradedOneTo(lasts::CS) where {T<:Integer,CS<:AbstractVector{T}}
+  function GradedOneTo(lasts::BlockLasts) where {T<:Integer,BlockLasts<:AbstractVector{T}}
     Base.require_one_based_indexing(lasts)
     isempty(lasts) || first(lasts) >= 0 || throw(ArgumentError("blocklasts must be >= 0"))
-    return new{T,CS}(lasts)
+    return new{T,BlockLasts}(lasts)
   end
-  function GradedOneTo(lasts::CS) where {T<:Integer,CS<:Tuple{T,Vararg{T}}}
+  function GradedOneTo(lasts::BlockLasts) where {T<:Integer,BlockLasts<:Tuple{T,Vararg{T}}}
     first(lasts) >= 0 || throw(ArgumentError("blocklasts must be >= 0"))
-    return new{T,CS}(lasts)
+    return new{T,BlockLasts}(lasts)
   end
 end
 
diff --git a/NDTensors/src/lib/GradedAxes/src/gradedunitrangedual.jl b/NDTensors/src/lib/GradedAxes/src/gradedunitrangedual.jl
index b5d85b9e97..217d4b401f 100644
--- a/NDTensors/src/lib/GradedAxes/src/gradedunitrangedual.jl
+++ b/NDTensors/src/lib/GradedAxes/src/gradedunitrangedual.jl
@@ -1,5 +1,6 @@
-struct GradedUnitRangeDual{T,CS,NondualUnitRange<:AbstractGradedUnitRange{T,CS}} <:
-       AbstractGradedUnitRange{T,CS}
+struct GradedUnitRangeDual{
+  T,BlockLasts,NondualUnitRange<:AbstractGradedUnitRange{T,BlockLasts}
+} <: AbstractGradedUnitRange{T,BlockLasts}
   nondual_unitrange::NondualUnitRange
 end