(* Basic properties *********************************************************)
lemma fpb_fpbg: ∀h,o,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≻[h, o] ⦃G2, L2, T2⦄ →
- â¦\83G1, L1, T1â¦\84 >â\89¡[h, o] ⦃G2, L2, T2⦄.
+ â¦\83G1, L1, T1â¦\84 >â\89\9b[h, o] ⦃G2, L2, T2⦄.
/2 width=5 by ex2_3_intro/ qed.
lemma fpbg_fpbq_trans: ∀h,o,G1,G,G2,L1,L,L2,T1,T,T2.
- â¦\83G1, L1, T1â¦\84 >â\89¡[h, o] ⦃G, L, T⦄ → ⦃G, L, T⦄ ≽[h, o] ⦃G2, L2, T2⦄ →
- â¦\83G1, L1, T1â¦\84 >â\89¡[h, o] ⦃G2, L2, T2⦄.
+ â¦\83G1, L1, T1â¦\84 >â\89\9b[h, o] ⦃G, L, T⦄ → ⦃G, L, T⦄ ≽[h, o] ⦃G2, L2, T2⦄ →
+ â¦\83G1, L1, T1â¦\84 >â\89\9b[h, o] ⦃G2, L2, T2⦄.
#h #o #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 *
/3 width=9 by fpbs_strap1, ex2_3_intro/
qed-.