(* Advanced properties ******************************************************)
lemma cnu_atom_drops (h) (b) (G) (L):
- āi. ā¬*[b,šā“iāµ] L ā ā ā ā¦G, Lā¦ ā¢ ā„²[h] šā¦#iā¦.
+ āi. ā¬*[b,šā“iāµ] L ā ā ā ā¦G,Lā¦ ā¢ ā„²[h] šā¦#iā¦.
#h #b #G #L #i #Hi #n #X #H
elim (cpm_inv_lref1_drops ā¦ H) -H * [ // || #m ] #K #V1 #V2 #HLK
lapply (drops_gen b ā¦ HLK) -HLK #HLK
qed.
lemma cnu_unit_drops (h) (I) (G) (L):
- āK,i. ā¬*[i] L ā K.ā¤{I} ā ā¦G, Lā¦ ā¢ ā„²[h] šā¦#iā¦.
+ āK,i. ā¬*[i] L ā K.ā¤{I} ā ā¦G,Lā¦ ā¢ ā„²[h] šā¦#iā¦.
#h #I #G #L #K #i #HLK #n #X #H
elim (cpm_inv_lref1_drops ā¦ H) -H * [ // || #m ] #Y #V1 #V2 #HLY
lapply (drops_mono ā¦ HLK ā¦ HLY) -L #H destruct