(* Basic_2A1: was: cpx_delta *)
lemma cpx_delta_drops: ∀h,I,G,L,K,V,V2,W2,i.
(* Basic_2A1: was: cpx_delta *)
lemma cpx_delta_drops: ∀h,I,G,L,K,V,V2,W2,i.
- â¬\87*[i] L â\89\98 K.â\93\91{I}V â\86\92 â¦\83G,Kâ¦\84 ⊢ V ⬈[h] V2 →
- â¬\86*[â\86\91i] V2 â\89\98 W2 â\86\92 â¦\83G,Lâ¦\84 ⊢ #i ⬈[h] W2.
+ â\87©[i] L â\89\98 K.â\93\91[I]V â\86\92 â\9dªG,Kâ\9d« ⊢ V ⬈[h] V2 →
+ â\87§[â\86\91i] V2 â\89\98 W2 â\86\92 â\9dªG,Lâ\9d« ⊢ #i ⬈[h] W2.
#h * #G #L #K #V #V2 #W2 #i #HLK *
/3 width=7 by cpg_ell_drops, cpg_delta_drops, ex_intro/
qed.
#h * #G #L #K #V #V2 #W2 #i #HLK *
/3 width=7 by cpg_ell_drops, cpg_delta_drops, ex_intro/
qed.
(* Advanced inversion lemmas ************************************************)
(* Basic_2A1: was: cpx_inv_atom1 *)
(* Advanced inversion lemmas ************************************************)
(* Basic_2A1: was: cpx_inv_atom1 *)
-lemma cpx_inv_atom1_drops: â\88\80h,I,G,L,T2. â¦\83G,Lâ¦\84 â\8a¢ â\93ª{I} ⬈[h] T2 →
- ∨∨ T2 = ⓪{I}
+lemma cpx_inv_atom1_drops: â\88\80h,I,G,L,T2. â\9dªG,Lâ\9d« â\8a¢ â\93ª[I] ⬈[h] T2 →
+ ∨∨ T2 = ⓪[I]
- | â\88\83â\88\83J,K,V,V2,i. â¬\87*[i] L â\89\98 K.â\93\91{J}V & â¦\83G,Kâ¦\84 ⊢ V ⬈[h] V2 &
- â¬\86*[↑i] V2 ≘ T2 & I = LRef i.
+ | â\88\83â\88\83J,K,V,V2,i. â\87©[i] L â\89\98 K.â\93\91[J]V & â\9dªG,Kâ\9d« ⊢ V ⬈[h] V2 &
+ â\87§[↑i] V2 ≘ T2 & I = LRef i.
#h #I #G #L #T2 * #c #H elim (cpg_inv_atom1_drops … H) -H *
/4 width=9 by or3_intro0, or3_intro1, or3_intro2, ex4_5_intro, ex2_intro, ex_intro/
qed-.
(* Basic_2A1: was: cpx_inv_lref1 *)
#h #I #G #L #T2 * #c #H elim (cpg_inv_atom1_drops … H) -H *
/4 width=9 by or3_intro0, or3_intro1, or3_intro2, ex4_5_intro, ex2_intro, ex_intro/
qed-.
(* Basic_2A1: was: cpx_inv_lref1 *)
-lemma cpx_inv_lref1_drops: â\88\80h,G,L,T2,i. â¦\83G,Lâ¦\84 ⊢ #i ⬈[h] T2 →
+lemma cpx_inv_lref1_drops: â\88\80h,G,L,T2,i. â\9dªG,Lâ\9d« ⊢ #i ⬈[h] T2 →
- â\88\83â\88\83J,K,V,V2. â¬\87*[i] L â\89\98 K. â\93\91{J}V & â¦\83G,Kâ¦\84 ⊢ V ⬈[h] V2 &
- â¬\86*[↑i] V2 ≘ T2.
+ â\88\83â\88\83J,K,V,V2. â\87©[i] L â\89\98 K. â\93\91[J]V & â\9dªG,Kâ\9d« ⊢ V ⬈[h] V2 &
+ â\87§[↑i] V2 ≘ T2.
#h #G #L #T1 #i * #c #H elim (cpg_inv_lref1_drops … H) -H *
/4 width=7 by ex3_4_intro, ex_intro, or_introl, or_intror/
qed-.
#h #G #L #T1 #i * #c #H elim (cpg_inv_lref1_drops … H) -H *
/4 width=7 by ex3_4_intro, ex_intro, or_introl, or_intror/
qed-.