diff --git a/NEWS.md b/NEWS.md
index 684a5b28cef24..f09d36e70d6d3 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -563,7 +563,7 @@ Library improvements
   * `diagm` now accepts several diagonal index/vector `Pair`s ([#24047]).
 
   * `isequal`, `==`, and `in` have one argument "curried" forms. For example `isequal(x)`
-    returns a function that compares its argument to `x` using `isequal` ([#23812]).
+    returns a function that compares its argument to `x` using `isequal` ([#26436]).
 
   * `reinterpret` now works on any AbstractArray using the new `ReinterpretArray` type.
     This supersedes the old behavior of reinterpret on Arrays. As a result, reinterpreting
@@ -1287,7 +1287,6 @@ Command-line option changes
 [#23750]: https://github.com/JuliaLang/julia/issues/23750
 [#23757]: https://github.com/JuliaLang/julia/issues/23757
 [#23805]: https://github.com/JuliaLang/julia/issues/23805
-[#23812]: https://github.com/JuliaLang/julia/issues/23812
 [#23816]: https://github.com/JuliaLang/julia/issues/23816
 [#23885]: https://github.com/JuliaLang/julia/issues/23885
 [#23902]: https://github.com/JuliaLang/julia/issues/23902
@@ -1414,4 +1413,5 @@ Command-line option changes
 [#26262]: https://github.com/JuliaLang/julia/issues/26262
 [#26284]: https://github.com/JuliaLang/julia/issues/26284
 [#26286]: https://github.com/JuliaLang/julia/issues/26286
-[#26442]: https://github.com/JuliaLang/julia/issues/26442
\ No newline at end of file
+[#26436]: https://github.com/JuliaLang/julia/issues/26436
+[#26442]: https://github.com/JuliaLang/julia/issues/26442
diff --git a/base/array.jl b/base/array.jl
index b48cb9cc649eb..0f3297f0143e6 100644
--- a/base/array.jl
+++ b/base/array.jl
@@ -1984,7 +1984,7 @@ end
 
 findall(x::Bool) = x ? [1] : Vector{Int}()
 findall(testf::Function, x::Number) = testf(x) ? [1] : Vector{Int}()
-findall(p::OccursIn, x::Number) = x in p.x ? [1] : Vector{Int}()
+findall(p::Fix2{typeof(in)}, x::Number) = x in p.x ? [1] : Vector{Int}()
 
 """
     findmax(itr) -> (x, index)
@@ -2208,7 +2208,7 @@ function _sortedfindin(v, w)
     return out
 end
 
-function findall(pred::OccursIn{<:Union{Array{<:Real},Real}}, x::Array{<:Real})
+function findall(pred::Fix2{typeof(in),<:Union{Array{<:Real},Real}}, x::Array{<:Real})
     if issorted(x, Sort.Forward) && issorted(pred.x, Sort.Forward)
         return _sortedfindin(x, pred.x)
     else
@@ -2217,7 +2217,7 @@ function findall(pred::OccursIn{<:Union{Array{<:Real},Real}}, x::Array{<:Real})
 end
 # issorted fails for some element types so the method above has to be restricted
 # to element with isless/< defined.
-findall(pred::OccursIn, x::Union{AbstractArray, Tuple}) = _findin(x, pred.x)
+findall(pred::Fix2{typeof(in)}, x::Union{AbstractArray, Tuple}) = _findin(x, pred.x)
 
 # Copying subregions
 function indcopy(sz::Dims, I::Vector)
diff --git a/base/bitarray.jl b/base/bitarray.jl
index e078f7330c68c..9e5b455475f27 100644
--- a/base/bitarray.jl
+++ b/base/bitarray.jl
@@ -1509,7 +1509,8 @@ end
 findfirstnot(B::BitArray) = findnextnot(B,1)
 
 # returns the index of the first matching element
-function findnext(pred::EqualTo, B::BitArray, start::Integer)
+function findnext(pred::Fix2{<:Union{typeof(isequal),typeof(==)},Bool},
+                  B::BitArray, start::Integer)
     v = pred.x
     v == false && return findnextnot(B, start)
     v == true && return findnext(B, start)
@@ -1581,7 +1582,8 @@ end
 findlastnot(B::BitArray) = findprevnot(B, length(B))
 
 # returns the index of the previous matching element
-function findprev(pred::EqualTo, B::BitArray, start::Integer)
+function findprev(pred::Fix2{<:Union{typeof(isequal),typeof(==)},Bool},
+                  B::BitArray, start::Integer)
     v = pred.x
     v == false && return findprevnot(B, start)
     v == true && return findprev(B, start)
diff --git a/base/deprecated.jl b/base/deprecated.jl
index 2a87ebed73f2f..fe310cbe6b542 100644
--- a/base/deprecated.jl
+++ b/base/deprecated.jl
@@ -1510,6 +1510,12 @@ end
 # Issue #26248
 @deprecate conj(x) x
 
+# PR #26436
+@deprecate equalto(x) isequal(x)
+@deprecate(occursin(x), in(x))
+@deprecate_binding EqualTo Base.Fix2{typeof(isequal)} false
+@deprecate_binding OccursIn Base.Fix2{typeof(in)} false
+
 # Remove ambiguous CartesianIndices and LinearIndices constructors that are ambiguous between an axis and an array (#26448)
 @eval IteratorsMD @deprecate CartesianIndices(inds::Vararg{AbstractUnitRange{Int},N}) where {N} CartesianIndices(inds)
 @eval IteratorsMD @deprecate CartesianIndices(inds::Vararg{AbstractUnitRange{<:Integer},N}) where {N} CartesianIndices(inds)
diff --git a/base/iobuffer.jl b/base/iobuffer.jl
index 92ec5f386fa3c..e76898fdc1e99 100644
--- a/base/iobuffer.jl
+++ b/base/iobuffer.jl
@@ -435,18 +435,18 @@ read(io::GenericIOBuffer) = read!(io,StringVector(bytesavailable(io)))
 readavailable(io::GenericIOBuffer) = read(io)
 read(io::GenericIOBuffer, nb::Integer) = read!(io,StringVector(min(nb, bytesavailable(io))))
 
-function findfirst(delim::EqualTo{UInt8}, buf::IOBuffer)
+function findfirst(delim::Fix2{<:Union{typeof(isequal),typeof(==)},UInt8}, buf::IOBuffer)
     p = pointer(buf.data, buf.ptr)
     q = GC.@preserve buf ccall(:memchr,Ptr{UInt8},(Ptr{UInt8},Int32,Csize_t),p,delim.x,bytesavailable(buf))
     q == C_NULL && return nothing
     return Int(q-p+1)
 end
 
-function findfirst(delim::EqualTo{UInt8}, buf::GenericIOBuffer)
+function findfirst(isdelim::Fix2{<:Union{typeof(isequal),typeof(==)},UInt8}, buf::GenericIOBuffer)
     data = buf.data
-    for i = buf.ptr : buf.size
+    for i = buf.ptr:buf.size
         @inbounds b = data[i]
-        if b == delim.x
+        if isdelim(b)
             return i - buf.ptr + 1
         end
     end
diff --git a/base/operators.jl b/base/operators.jl
index b61e265068666..c2511bc693fa9 100644
--- a/base/operators.jl
+++ b/base/operators.jl
@@ -837,8 +837,6 @@ used to implement specialized methods.
 """
 isequal(x) = Fix2(isequal, x)
 
-const EqualTo = Fix2{typeof(isequal)}
-
 """
     ==(x)
 
@@ -861,8 +859,6 @@ used to implement specialized methods.
 """
 in(x) = Fix2(in, x)
 
-const OccursIn = Fix2{typeof(in)}
-
 """
     splat(f)
 
diff --git a/base/precompile.jl b/base/precompile.jl
index c688643cb73f6..a5ba000a638bc 100644
--- a/base/precompile.jl
+++ b/base/precompile.jl
@@ -291,7 +291,8 @@ precompile(Tuple{typeof(Base.find_env), Array{Base.AbstractEnv, 1}})
 precompile(Tuple{typeof(Base.find_env), Base.CurrentEnv})
 precompile(Tuple{typeof(Base.find_env), Base.NamedEnv})
 precompile(Tuple{typeof(Base.find_env), typeof(Pkg.dir)})
-precompile(Tuple{typeof(Base.findfirst), Base.EqualTo{UInt8}, Base.GenericIOBuffer{Array{UInt8, 1}}})
+precompile(Tuple{typeof(Base.findfirst), Base.Fix2{typeof(isequal),UInt8}, Base.GenericIOBuffer{Array{UInt8, 1}}})
+precompile(Tuple{typeof(Base.findfirst), Base.Fix2{typeof(==),UInt8}, Base.GenericIOBuffer{Array{UInt8, 1}}})
 precompile(Tuple{typeof(Base.first), Base.OneTo{Int64}})
 precompile(Tuple{typeof(Base.firstindex), String})
 precompile(Tuple{typeof(Base.flush), Base.IOStream})
diff --git a/base/strings/search.jl b/base/strings/search.jl
index cbe6d78e1f352..f9c155d2a944b 100644
--- a/base/strings/search.jl
+++ b/base/strings/search.jl
@@ -2,7 +2,8 @@
 
 nothing_sentinel(i) = i == 0 ? nothing : i
 
-function findnext(pred::EqualTo{<:AbstractChar}, s::String, i::Integer)
+function findnext(pred::Fix2{<:Union{typeof(isequal),typeof(==)},<:AbstractChar},
+                  s::String, i::Integer)
     if i < 1 || i > sizeof(s)
         i == sizeof(s) + 1 && return nothing
         throw(BoundsError(s, i))
@@ -13,14 +14,15 @@ function findnext(pred::EqualTo{<:AbstractChar}, s::String, i::Integer)
     while true
         i = _search(s, first_utf8_byte(c), i)
         i == 0 && return nothing
-        s[i] == c && return i
+        pred(s[i]) && return i
         i = nextind(s, i)
     end
 end
 
-findfirst(pred::EqualTo{<:Union{Int8,UInt8}}, a::ByteArray) = nothing_sentinel(_search(a, pred.x))
+findfirst(pred::Fix2{<:Union{typeof(isequal),typeof(==)},<:Union{Int8,UInt8}}, a::ByteArray) =
+    nothing_sentinel(_search(a, pred.x))
 
-findnext(pred::EqualTo{<:Union{Int8,UInt8}}, a::ByteArray, i::Integer) =
+findnext(pred::Fix2{<:Union{typeof(isequal),typeof(==)},<:Union{Int8,UInt8}}, a::ByteArray, i::Integer) =
     nothing_sentinel(_search(a, pred.x, i))
 
 function _search(a::Union{String,ByteArray}, b::Union{Int8,UInt8}, i::Integer = 1)
@@ -44,21 +46,23 @@ function _search(a::ByteArray, b::AbstractChar, i::Integer = 1)
     end
 end
 
-function findprev(pred::EqualTo{<:AbstractChar}, s::String, i::Integer)
+function findprev(pred::Fix2{<:Union{typeof(isequal),typeof(==)},<:AbstractChar},
+                  s::String, i::Integer)
     c = pred.x
     c ≤ '\x7f' && return nothing_sentinel(_rsearch(s, c % UInt8, i))
     b = first_utf8_byte(c)
     while true
         i = _rsearch(s, b, i)
         i == 0 && return nothing
-        s[i] == c && return i
+        pred(s[i]) && return i
         i = prevind(s, i)
     end
 end
 
-findlast(pred::EqualTo{<:Union{Int8,UInt8}}, a::ByteArray) = nothing_sentinel(_rsearch(a, pred.x))
+findlast(pred::Fix2{<:Union{typeof(isequal),typeof(==)},<:Union{Int8,UInt8}}, a::ByteArray) =
+    nothing_sentinel(_rsearch(a, pred.x))
 
-findprev(pred::EqualTo{<:Union{Int8,UInt8}}, a::ByteArray, i::Integer) =
+findprev(pred::Fix2{<:Union{typeof(isequal),typeof(==)},<:Union{Int8,UInt8}}, a::ByteArray, i::Integer) =
     nothing_sentinel(_rsearch(a, pred.x, i))
 
 function _rsearch(a::Union{String,ByteArray}, b::Union{Int8,UInt8}, i::Integer = sizeof(a))
diff --git a/stdlib/Pkg3/src/precompile.jl b/stdlib/Pkg3/src/precompile.jl
index 3913c2fe3104d..f3673f27ac375 100644
--- a/stdlib/Pkg3/src/precompile.jl
+++ b/stdlib/Pkg3/src/precompile.jl
@@ -258,7 +258,8 @@ precompile(Tuple{typeof(Base.copy), Array{Base.UUID, 1}})
 precompile(Tuple{typeof(Base.copyto!), Array{Any, 1}, Tuple{String, Base.VersionNumber, String, String}})
 precompile(Tuple{typeof(Base.copyto!), Array{Any, 1}, Tuple{String, Base.VersionNumber}})
 precompile(Tuple{typeof(Base.count), Base.BitArray{1}})
-precompile(Tuple{typeof(Base.count), Base.EqualTo{Char}, String})
+precompile(Tuple{typeof(Base.count), Base.Fix2{typeof(isequal),Char}, String})
+precompile(Tuple{typeof(Base.count), Base.Fix2{typeof(==),Char}, String})
 precompile(Tuple{typeof(Base.deepcopy), Base.Dict{String, Any}})
 precompile(Tuple{typeof(Base.deepcopy_internal), Array{Base.Dict{String, Any}, 1}, Base.IdDict{Any, Any}})
 precompile(Tuple{typeof(Base.deepcopy_internal), Base.Dict{Any, Any}, Base.IdDict{Any, Any}})
diff --git a/stdlib/SparseArrays/src/sparsematrix.jl b/stdlib/SparseArrays/src/sparsematrix.jl
index 1cfafa942f7d7..92edb70aedcff 100644
--- a/stdlib/SparseArrays/src/sparsematrix.jl
+++ b/stdlib/SparseArrays/src/sparsematrix.jl
@@ -1318,8 +1318,8 @@ function findall(p::Function, S::SparseMatrixCSC)
 
     return inds
 end
-findall(p::Base.OccursIn, x::SparseMatrixCSC) =
-    invoke(findall, Tuple{Base.OccursIn, AbstractArray}, p, x)
+findall(p::Base.Fix2{typeof(in)}, x::SparseMatrixCSC) =
+    invoke(findall, Tuple{Base.Fix2{typeof(in)}, AbstractArray}, p, x)
 
 function findnz(S::SparseMatrixCSC{Tv,Ti}) where {Tv,Ti}
     numnz = nnz(S)
diff --git a/stdlib/SparseArrays/src/sparsevector.jl b/stdlib/SparseArrays/src/sparsevector.jl
index 4bb0faa7302c9..728fe420a221d 100644
--- a/stdlib/SparseArrays/src/sparsevector.jl
+++ b/stdlib/SparseArrays/src/sparsevector.jl
@@ -712,8 +712,8 @@ function findall(p::Function, x::SparseVector{<:Any,Ti}) where Ti
 
     return I
 end
-findall(p::Base.OccursIn, x::SparseVector{<:Any,Ti}) where {Ti} =
-    invoke(findall, Tuple{Base.OccursIn, AbstractArray}, p, x)
+findall(p::Base.Fix2{typeof(in)}, x::SparseVector{<:Any,Ti}) where {Ti} =
+    invoke(findall, Tuple{Base.Fix2{typeof(in)}, AbstractArray}, p, x)
 
 function findnz(x::SparseVector{Tv,Ti}) where {Tv,Ti}
     numnz = nnz(x)
diff --git a/test/ranges.jl b/test/ranges.jl
index f723112b49dfa..176be5412d674 100644
--- a/test/ranges.jl
+++ b/test/ranges.jl
@@ -249,7 +249,7 @@ end
         @test length(0.0:-0.5) == 0
         @test length(1:2:0) == 0
     end
-    @testset "findall(::OccursIn, ::Array)" begin
+    @testset "findall(::Base.Fix2{typeof(in)}, ::Array)" begin
         @test findall(in(3:20), [5.2, 3.3]) == findall(in(Vector(3:20)), [5.2, 3.3])
 
         let span = 5:20,