]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/ground/steps/rtc_isrt.ma
milestone update in basic_2, update in ground and static_2
[helm.git] / matita / matita / contribs / lambdadelta / ground / steps / rtc_isrt.ma
index 17bba149600ee4e0686a9639f347a7bafa202277..7f9f2f74ad1d7e891662dcf7d0dd2abfeb9cacd1 100644 (file)
@@ -34,9 +34,9 @@ lemma isrt_10: ð‘𝐓❊0,𝟙𝟘âŦ.
 lemma isrt_01: ð‘𝐓❊1,𝟘𝟙âŦ.
 /2 width=3 by ex1_2_intro/ qed.
 
-lemma isrt_eq_t_trans: âˆ€n,c1,c2. ð‘𝐓❊n,c1âŦ â†’ eq_t c1 c2 â†’ ð‘𝐓❊n,c2âŦ.
+lemma isrt_eq_t_trans: âˆ€n,c1,c2. ð‘𝐓❊n,c1âŦ â†’ rtc_eq_t c1 c2 â†’ ð‘𝐓❊n,c2âŦ.
 #n #c1 #c2 * #ri1 #rs1 #H destruct
-#H elim (eq_t_inv_dx â€Ķ H) -H /2 width=3 by ex1_2_intro/
+#H elim (rtc_eq_t_inv_dx â€Ķ H) -H /2 width=3 by ex1_2_intro/
 qed-.
 
 (* Basic inversion properties ***********************************************)
@@ -59,6 +59,6 @@ theorem isrt_inj: âˆ€n1,n2,c. ð‘𝐓❊n1,câŦ â†’ ð‘𝐓❊n2,câŦ â†’ n1 =
 #n1 #n2 #c * #ri1 #rs1 #H1 * #ri2 #rs2 #H2 destruct //
 qed-.
 
-theorem isrt_mono: âˆ€n,c1,c2. ð‘𝐓❊n,c1âŦ â†’ ð‘𝐓❊n,c2âŦ â†’ eq_t c1 c2.
+theorem isrt_mono: âˆ€n,c1,c2. ð‘𝐓❊n,c1âŦ â†’ ð‘𝐓❊n,c2âŦ â†’ rtc_eq_t c1 c2.
 #n #c1 #c2 * #ri1 #rs1 #H1 * #ri2 #rs2 #H2 destruct //
 qed-.