/2 width=4 by lexs_inv_atom1/ qed-.
(* Basic_2A1: includes: lreq_inv_pair1 *)
-lemma lreq_inv_next1: â\88\80g,J,K1,Y. K1.â\93\98{J} â\89¡[⫯g] Y →
+lemma lreq_inv_next1: â\88\80g,J,K1,Y. K1.â\93\98{J} â\89¡[â\86\91g] Y →
∃∃K2. K1 ≡[g] K2 & Y = K2.ⓘ{J}.
#g #J #K1 #Y #H
elim (lexs_inv_next1 … H) -H #Z #K2 #HK12 #H1 #H2 destruct
qed-.
(* Basic_2A1: includes: lreq_inv_zero1 lreq_inv_succ1 *)
-lemma lreq_inv_push1: â\88\80g,J1,K1,Y. K1.â\93\98{J1} â\89¡[â\86\91g] Y →
+lemma lreq_inv_push1: â\88\80g,J1,K1,Y. K1.â\93\98{J1} â\89¡[⫯g] Y →
∃∃J2,K2. K1 ≡[g] K2 & Y = K2.ⓘ{J2}.
#g #J1 #K1 #Y #H elim (lexs_inv_push1 … H) -H /2 width=4 by ex2_2_intro/
qed-.
/2 width=4 by lexs_inv_atom2/ qed-.
(* Basic_2A1: includes: lreq_inv_pair2 *)
-lemma lreq_inv_next2: â\88\80g,J,X,K2. X â\89¡[⫯g] K2.ⓘ{J} →
+lemma lreq_inv_next2: â\88\80g,J,X,K2. X â\89¡[â\86\91g] K2.ⓘ{J} →
∃∃K1. K1 ≡[g] K2 & X = K1.ⓘ{J}.
#g #J #X #K2 #H
elim (lexs_inv_next2 … H) -H #Z #K1 #HK12 #H1 #H2 destruct
qed-.
(* Basic_2A1: includes: lreq_inv_zero2 lreq_inv_succ2 *)
-lemma lreq_inv_push2: â\88\80g,J2,X,K2. X â\89¡[â\86\91g] K2.ⓘ{J2} →
+lemma lreq_inv_push2: â\88\80g,J2,X,K2. X â\89¡[⫯g] K2.ⓘ{J2} →
∃∃J1,K1. K1 ≡[g] K2 & X = K1.ⓘ{J1}.
#g #J2 #X #K2 #H elim (lexs_inv_push2 … H) -H /2 width=4 by ex2_2_intro/
qed-.
(* Basic_2A1: includes: lreq_inv_pair *)
-lemma lreq_inv_next: â\88\80f,I1,I2,L1,L2. L1.â\93\98{I1} â\89¡[⫯f] L2.ⓘ{I2} →
+lemma lreq_inv_next: â\88\80f,I1,I2,L1,L2. L1.â\93\98{I1} â\89¡[â\86\91f] L2.ⓘ{I2} →
L1 ≡[f] L2 ∧ I1 = I2.
#f #I1 #I2 #L1 #L2 #H elim (lexs_inv_next … H) -H
/3 width=3 by ceq_ext_inv_eq, conj/
qed-.
(* Basic_2A1: includes: lreq_inv_succ *)
-lemma lreq_inv_push: â\88\80f,I1,I2,L1,L2. L1.â\93\98{I1} â\89¡[â\86\91f] L2.ⓘ{I2} → L1 ≡[f] L2.
+lemma lreq_inv_push: â\88\80f,I1,I2,L1,L2. L1.â\93\98{I1} â\89¡[⫯f] L2.ⓘ{I2} → L1 ≡[f] L2.
#f #I1 #I2 #L1 #L2 #H elim (lexs_inv_push … H) -H /2 width=1 by conj/
qed-.