update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / rex_length.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/rex_length.ma b/matita/matita/contribs/lambdadelta/static_2/static/rex_length.ma
index a963524d258d3c7844eae4bd1bda4ed6267f763d..aa4fba0095df97ea27bfc5078b695058e76a76d0 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/static/rex_length.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/rex_length.ma
@@ -46,7 +46,7 @@ lemma rex_gref_length (R): ∀L1,L2. |L1| = |L2| → ∀l. L1 ⪤[R,§l] L2.
 ]
 qed.
 
-lemma rex_unit_length (R): ∀L1,L2. |L1| = |L2| → ∀I. L1.ⓤ{I} ⪤[R,#0] L2.ⓤ{I}.
+lemma rex_unit_length (R): ∀L1,L2. |L1| = |L2| → ∀I. L1.ⓤ[I] ⪤[R,#0] L2.ⓤ[I].
 /3 width=3 by rex_unit, sex_length_isid/ qed.
 
 (* Basic_2A1: uses: llpx_sn_lift_le llpx_sn_lift_ge *)
@@ -67,8 +67,8 @@ lemma rex_inv_zero_length (R):
       ∀Y1,Y2. Y1 ⪤[R,#0] Y2 →
       ∨∨ ∧∧ Y1 = ⋆ & Y2 = ⋆
        | ∃∃I,L1,L2,V1,V2. L1 ⪤[R,V1] L2 & R L1 V1 V2 &
-           Y1 = L1.ⓑ{I}V1 & Y2 = L2.ⓑ{I}V2
-       | ∃∃I,L1,L2. |L1| = |L2| & Y1 = L1.ⓤ{I} & Y2 = L2.ⓤ{I}.
+           Y1 = L1.ⓑ[I]V1 & Y2 = L2.ⓑ[I]V2
+       | ∃∃I,L1,L2. |L1| = |L2| & Y1 = L1.ⓤ[I] & Y2 = L2.ⓤ[I].
 #R #Y1 #Y2 #H elim (rex_inv_zero … H) -H *
 /4 width=9 by sex_fwd_length, ex4_5_intro, ex3_3_intro, or3_intro2, or3_intro1, or3_intro0, conj/
 qed-.