lemma cpms_fwd_cpxs (n) (h): ∀G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡*[n, h] T2 → ⦃G, L⦄ ⊢ T1 ⬈*[h] T2.
#n #h #G #L #T1 #T2 #H @(cpms_ind_dx … H) -T2
/3 width=4 by cpxs_strap1, cpm_fwd_cpx/
lemma cpms_fwd_cpxs (n) (h): ∀G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡*[n, h] T2 → ⦃G, L⦄ ⊢ T1 ⬈*[h] T2.
#n #h #G #L #T1 #T2 #H @(cpms_ind_dx … H) -T2
/3 width=4 by cpxs_strap1, cpm_fwd_cpx/