qed-.
theorem fleq_canc_sn: ∀G,G1,G2,L,L1,L2,T,T1,T2,d.
- â¦\83G, L, Tâ¦\84 â\8b\95[d] â¦\83G1, L1, T1â¦\84â\86\92 â¦\83G, L, Tâ¦\84 â\8b\95[d] â¦\83G2, L2, T2â¦\84 â\86\92 â¦\83G1, L1, T1â¦\84 â\8b\95[d] ⦃G2, L2, T2⦄.
+ â¦\83G, L, Tâ¦\84 â\89¡[d] â¦\83G1, L1, T1â¦\84â\86\92 â¦\83G, L, Tâ¦\84 â\89¡[d] â¦\83G2, L2, T2â¦\84 â\86\92 â¦\83G1, L1, T1â¦\84 â\89¡[d] ⦃G2, L2, T2⦄.
/3 width=5 by fleq_trans, fleq_sym/ qed-.
theorem fleq_canc_dx: ∀G1,G2,G,L1,L2,L,T1,T2,T,d.
- â¦\83G1, L1, T1â¦\84 â\8b\95[d] â¦\83G, L, Tâ¦\84 â\86\92 â¦\83G2, L2, T2â¦\84 â\8b\95[d] â¦\83G, L, Tâ¦\84 â\86\92 â¦\83G1, L1, T1â¦\84 â\8b\95[d] ⦃G2, L2, T2⦄.
+ â¦\83G1, L1, T1â¦\84 â\89¡[d] â¦\83G, L, Tâ¦\84 â\86\92 â¦\83G2, L2, T2â¦\84 â\89¡[d] â¦\83G, L, Tâ¦\84 â\86\92 â¦\83G1, L1, T1â¦\84 â\89¡[d] ⦃G2, L2, T2⦄.
/3 width=5 by fleq_trans, fleq_sym/ qed-.