long awaited update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / relocation / lex_tc.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/lex_tc.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/lex_tc.ma
index 9a7621f9ca2745c24e8edbc7c95ebd291395220e..d9112a12e4461c3981a6ef0c44419b739bb52234 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/relocation/lex_tc.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/lex_tc.ma
@@ -52,3 +52,12 @@ lapply (monotonic_TC … (lexs cfull (cext2 R) 𝐈𝐝) … HL12) -HL12
 ]
 qed-.
 
+lemma lex_ltc_step_dx: ∀R. c_reflexive … R → s_rs_transitive … R (λ_. lex R) →
+                       ∀L1,L. lex (LTC … R) L1 L →
+                       ∀L2. lex R L L2 → lex (LTC … R) L1 L2.
+/4 width=3 by lex_ltc, lex_inv_ltc, step/ qed-.
+
+lemma lex_ltc_step_sn: ∀R. c_reflexive … R → s_rs_transitive … R (λ_. lex R) →
+                       ∀L1,L. lex R L1 L →
+                       ∀L2. lex (LTC … R) L L2 → lex (LTC … R) L1 L2.
+/4 width=3 by lex_ltc, lex_inv_ltc, TC_strap/ qed-.