(* Basic_1: was only: nf2_csort_lref *)
lemma cnr_lref_atom (h) (b) (G) (L):
- āi. ā¬*[b,šā“iāµ] L ā ā ā ā¦G, Lā¦ ā¢ ā”[h] šā¦#iā¦.
+ āi. ā¬*[b,šā“iāµ] L ā ā ā ā¦G,Lā¦ ā¢ ā”[h] šā¦#iā¦.
#h #b #G #L #i #Hi #X #H
elim (cpr_inv_lref1_drops ā¦ H) -H // * #K #V1 #V2 #HLK
lapply (drops_gen b ā¦ HLK) -HLK #HLK
(* Basic_1: was: nf2_lref_abst *)
lemma cnr_lref_abst (h) (G) (L):
- āK,V,i. ā¬*[i] L ā K.āV ā ā¦G, Lā¦ ā¢ ā”[h] šā¦#iā¦.
+ āK,V,i. ā¬*[i] L ā K.āV ā ā¦G,Lā¦ ā¢ ā”[h] šā¦#iā¦.
#h #G #L #K #V #i #HLK #X #H
elim (cpr_inv_lref1_drops ā¦ H) -H // *
#K0 #V1 #V2 #HLK0 #_ #_
qed.
lemma cnr_lref_unit (h) (I) (G) (L):
- āK,i. ā¬*[i] L ā K.ā¤{I} ā ā¦G, Lā¦ ā¢ ā”[h] šā¦#iā¦.
+ āK,i. ā¬*[i] L ā K.ā¤{I} ā ā¦G,Lā¦ ā¢ ā”[h] šā¦#iā¦.
#h #I #G #L #K #i #HLK #X #H
elim (cpr_inv_lref1_drops ā¦ H) -H // *
#K0 #V1 #V2 #HLK0 #_ #_
(* Basic_2A1: was: cnr_inv_delta *)
lemma cnr_inv_lref_abbr (h) (G) (L):
- āK,V,i. ā¬*[i] L ā K.āV ā ā¦G, Lā¦ ā¢ ā”[h] šā¦#iā¦ ā ā„.
+ āK,V,i. ā¬*[i] L ā K.āV ā ā¦G,Lā¦ ā¢ ā”[h] šā¦#iā¦ ā ā„.
#h #G #L #K #V #i #HLK #H
elim (lifts_total V šā“āiāµ) #W #HVW
lapply (H W ?) -H [ /3 width=6 by cpm_delta_drops/ ] -HLK #H destruct