@@ -177,7 +177,7 @@ class MeetSemilattice a => VerifiedMeetSemilattice a where
177177 total meetSemilatticeMeetIsIdempotent : (e : a) -> meet e e = e
178178
179179||| Sets equipped with a binary operation that is commutative, associative and
180−||| idempotent and supplied with a neutral element. Must satisfy the following
180+||| idempotent and supplied with a unitary element. Must satisfy the following
181181||| laws:
182182|||
183183||| + Associativity of join:
@@ -186,7 +186,7 @@ class MeetSemilattice a => VerifiedMeetSemilattice a where
186186||| forall a b, join a b == join b a
187187||| + Idempotency of join:
188188||| forall a, join a a == a
189−||| + Bottom:
189+||| + Bottom (Unitary Element):
190190||| forall a, join a bottom == a
191191|||
192192||| Join semilattices capture the notion of sets with a "least upper bound"
@@ -198,7 +198,7 @@ class (VerifiedJoinSemilattice a, BoundedJoinSemilattice a) => VerifiedBoundedJo
198198 total boundedJoinSemilatticeBottomIsBottom : (e : a) -> join e bottom = e
199199
200200||| Sets equipped with a binary operation that is commutative, associative and
201−||| idempotent and supplied with a neutral element. Must satisfy the following
201+||| idempotent and supplied with a unitary element. Must satisfy the following
202202||| laws:
203203|||
204204||| + Associativity of meet:
@@ -207,7 +207,7 @@ class (VerifiedJoinSemilattice a, BoundedJoinSemilattice a) => VerifiedBoundedJo
207207||| forall a b, meet a b == meet b a
208208||| + Idempotency of meet:
209209||| forall a, meet a a == a
210−||| + Top:
210+||| + Top (Unitary Element):
211211||| forall a, meet a top == a
212212|||
213213||| Meet semilattices capture the notion of sets with a "greatest lower bound"