some restyling ...

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

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/lsuba.ma b/matita/matita/contribs/lambdadelta/static_2/static/lsuba.ma
index 7277086ac1e83e55dd083d8a64462f6abb9efc47..9f8404cd0cf4e11e91d1a299b93d7714293fa4e8 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/static/lsuba.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/static/lsuba.ma
@@ -20,7 +20,7 @@ include "static_2/static/aaa.ma".
 inductive lsuba (G:genv): relation lenv ≝
 | lsuba_atom: lsuba G (⋆) (⋆)
 | lsuba_bind: ∀I,L1,L2. lsuba G L1 L2 → lsuba G (L1.ⓘ{I}) (L2.ⓘ{I})
-| lsuba_beta: ∀L1,L2,W,V,A. ⦃G, L1⦄ ⊢ ⓝW.V ⁝ A → ⦃G, L2⦄ ⊢ W ⁝ A →
+| lsuba_beta: ∀L1,L2,W,V,A. ⦃G,L1⦄ ⊢ ⓝW.V ⁝ A → ⦃G,L2⦄ ⊢ W ⁝ A →
               lsuba G L1 L2 → lsuba G (L1.ⓓⓝW.V) (L2.ⓛW)
 .
 
@@ -43,7 +43,7 @@ lemma lsuba_inv_atom1: ∀G,L2. G ⊢ ⋆ ⫃⁝ L2 → L2 = ⋆.
 
 fact lsuba_inv_bind1_aux: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → ∀I,K1. L1 = K1.ⓘ{I} →
                           (∃∃K2. G ⊢ K1 ⫃⁝ K2 & L2 = K2.ⓘ{I}) ∨
-                          ∃∃K2,W,V,A. ⦃G, K1⦄ ⊢ ⓝW.V ⁝ A & ⦃G, K2⦄ ⊢ W ⁝ A &
+                          ∃∃K2,W,V,A. ⦃G,K1⦄ ⊢ ⓝW.V ⁝ A & ⦃G,K2⦄ ⊢ W ⁝ A &
                                       G ⊢ K1 ⫃⁝ K2 & I = BPair Abbr (ⓝW.V) & L2 = K2.ⓛW.
 #G #L1 #L2 * -L1 -L2
 [ #J #K1 #H destruct
@@ -54,7 +54,7 @@ qed-.
 
 lemma lsuba_inv_bind1: ∀I,G,K1,L2. G ⊢ K1.ⓘ{I} ⫃⁝ L2 →
                        (∃∃K2. G ⊢ K1 ⫃⁝ K2 & L2 = K2.ⓘ{I}) ∨
-                       ∃∃K2,W,V,A. ⦃G, K1⦄ ⊢ ⓝW.V ⁝ A & ⦃G, K2⦄ ⊢ W ⁝ A & G ⊢ K1 ⫃⁝ K2 &
+                       ∃∃K2,W,V,A. ⦃G,K1⦄ ⊢ ⓝW.V ⁝ A & ⦃G,K2⦄ ⊢ W ⁝ A & G ⊢ K1 ⫃⁝ K2 &
                                    I = BPair Abbr (ⓝW.V) & L2 = K2.ⓛW.
 /2 width=3 by lsuba_inv_bind1_aux/ qed-.
 
@@ -71,7 +71,7 @@ lemma lsubc_inv_atom2: ∀G,L1. G ⊢ L1 ⫃⁝ ⋆ → L1 = ⋆.
 
 fact lsuba_inv_bind2_aux: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → ∀I,K2. L2 = K2.ⓘ{I} →
                           (∃∃K1. G ⊢ K1 ⫃⁝ K2 & L1 = K1.ⓘ{I}) ∨
-                          ∃∃K1,V,W, A. ⦃G, K1⦄ ⊢ ⓝW.V ⁝ A & ⦃G, K2⦄ ⊢ W ⁝ A &
+                          ∃∃K1,V,W,A. ⦃G,K1⦄ ⊢ ⓝW.V ⁝ A & ⦃G,K2⦄ ⊢ W ⁝ A &
                                        G ⊢ K1 ⫃⁝ K2 & I = BPair Abst W & L1 = K1.ⓓⓝW.V.
 #G #L1 #L2 * -L1 -L2
 [ #J #K2 #H destruct
@@ -82,7 +82,7 @@ qed-.
 
 lemma lsuba_inv_bind2: ∀I,G,L1,K2. G ⊢ L1 ⫃⁝ K2.ⓘ{I} →
                        (∃∃K1. G ⊢ K1 ⫃⁝ K2 & L1 = K1.ⓘ{I}) ∨
-                       ∃∃K1,V,W,A. ⦃G, K1⦄ ⊢ ⓝW.V ⁝ A & ⦃G, K2⦄ ⊢ W ⁝ A & G ⊢ K1 ⫃⁝ K2 &
+                       ∃∃K1,V,W,A. ⦃G,K1⦄ ⊢ ⓝW.V ⁝ A & ⦃G,K2⦄ ⊢ W ⁝ A & G ⊢ K1 ⫃⁝ K2 &
                                    I = BPair Abst W & L1 = K1.ⓓⓝW.V.
 /2 width=3 by lsuba_inv_bind2_aux/ qed-.