Module KnotHeredSa (TFSA':TY_FUNCTOR_SA_PROP) (K':KNOT_HERED with Module TF:=TFSA'.TF)
: KNOT_HERED_SA with Module TFSA:=TFSA' with Module K:=K'.
Module TFSA:=TFSA'.
Module K:=K'.
Module KL := KnotHered_Lemmas(K).
Instance Join_nat_F: Join (nat * F predicate) :=
Join_prod nat  (Join_equiv nat) (F predicate) _.
Instance Perm_nat_F : Perm_alg (nat * F predicate) :=
@Perm_prod nat _ _ _ (Perm_equiv _) (Perm_F predicate _ (Perm_equiv _)).
Instance Sep_nat_F (Sep_F: forall A, Sep_alg (F A)): Sep_alg (nat * F predicate) :=
@Sep_prod nat _ _ _ (Sep_equiv _) (Sep_F predicate).
Instance Canc_nat_F (Canc_F: forall A, Canc_alg (F A)): Canc_alg (nat * F predicate) :=
@Canc_prod nat _ _ _ (Canc_equiv _) (Canc_F predicate).
Instance Disj_nat_F (Disj_F: forall A, Disj_alg (F A)): Disj_alg (nat * F predicate) :=
@Disj_prod nat _ _ _ (Disj_equiv _) (Disj_F predicate).

Lemma unsquash_squash_join_hom : join_hom (unsquash oo squash).
Instance Join_knot : Join knot :=
Join_preimage knot (nat * F predicate) Join_nat_F unsquash.