more lemmas to prove and a correction in subst

[helm.git] / matita / matita / lib / lambda-delta / substitution / lift.ma

diff --git a/matita/matita/lib/lambda-delta/substitution/lift.ma b/matita/matita/lib/lambda-delta/substitution/lift.ma
index d65f735102af41d3720a96c7e09dc24797f0b8ad..60b1b62e74481cbe2876661f8ac448bd59423995 100644 (file)
--- a/matita/matita/lib/lambda-delta/substitution/lift.ma
+++ b/matita/matita/lib/lambda-delta/substitution/lift.ma
@@ -169,6 +169,10 @@ qed.
 
 (* the main properies *******************************************************)
 
+axiom lift_total: ∀d,e,T1. ∃T2. ↑[d,e] T1 ≡ T2.
+
+axiom lift_mono:  ∀d,e,T,U1. ↑[d,e] T ≡ U1 → ∀U2. ↑[d,e] T ≡ U2 → U1 = U2.
+
 theorem lift_conf_rev: ∀d1,e1,T1,T. ↑[d1,e1] T1 ≡ T →
                        ∀d2,e2,T2. ↑[d2 + e1, e2] T2 ≡ T →
                        d1 ≤ d2 →