some restyling ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / lsubv.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv.ma
index 20b5259d07c989cb8d5d8e2a799e5241c2a44535..17a22da58e20b23bf0b9057e9dfb6f2463e21de2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv.ma
@@ -20,7 +20,7 @@ include "basic_2/dynamic/cnv.ma".
 inductive lsubv (a) (h) (G): relation lenv ≝
 | lsubv_atom: lsubv a h G (⋆) (⋆)
 | lsubv_bind: ∀I,L1,L2. lsubv a h G L1 L2 → lsubv a h G (L1.ⓘ{I}) (L2.ⓘ{I})
-| lsubv_beta: ∀L1,L2,W,V. ⦃G, L1⦄ ⊢ ⓝW.V ![a,h] →
+| lsubv_beta: ∀L1,L2,W,V. ⦃G,L1⦄ ⊢ ⓝW.V ![a,h] →
               lsubv a h G L1 L2 → lsubv a h G (L1.ⓓⓝW.V) (L2.ⓛW)
 .
 
@@ -45,7 +45,7 @@ lemma lsubv_inv_atom_sn (a) (h) (G): ∀L2. G ⊢ ⋆ ⫃![a,h] L2 → L2 = ⋆.
 fact lsubv_inv_bind_sn_aux (a) (h) (G): ∀L1,L2. G ⊢ L1 ⫃![a,h] L2 →
                            ∀I,K1. L1 = K1.ⓘ{I} →
                            ∨∨ ∃∃K2. G ⊢ K1 ⫃![a,h] K2 & L2 = K2.ⓘ{I}
-                            | ∃∃K2,W,V. ⦃G, K1⦄ ⊢ ⓝW.V ![a,h] &
+                            | ∃∃K2,W,V. ⦃G,K1⦄ ⊢ ⓝW.V ![a,h] &
                                         G ⊢ K1 ⫃![a,h] K2 &
                                         I = BPair Abbr (ⓝW.V) & L2 = K2.ⓛW.
 #a #h #G #L1 #L2 * -L1 -L2
@@ -58,7 +58,7 @@ qed-.
 (* Basic_2A1: uses: lsubsv_inv_pair1 *)
 lemma lsubv_inv_bind_sn (a) (h) (G): ∀I,K1,L2. G ⊢ K1.ⓘ{I} ⫃![a,h] L2 →
                         ∨∨ ∃∃K2. G ⊢ K1 ⫃![a,h] K2 & L2 = K2.ⓘ{I}
-                         | ∃∃K2,W,V. ⦃G, K1⦄ ⊢ ⓝW.V ![a,h] &
+                         | ∃∃K2,W,V. ⦃G,K1⦄ ⊢ ⓝW.V ![a,h] &
                                      G ⊢ K1 ⫃![a,h] K2 &
                                      I = BPair Abbr (ⓝW.V) & L2 = K2.ⓛW.
 /2 width=3 by lsubv_inv_bind_sn_aux/ qed-.
@@ -78,7 +78,7 @@ lemma lsubv_inv_atom2 (a) (h) (G): ∀L1. G ⊢ L1 ⫃![a,h] ⋆ → L1 = ⋆.
 fact lsubv_inv_bind_dx_aux (a) (h) (G): ∀L1,L2. G ⊢ L1 ⫃![a,h] L2 →
                            ∀I,K2. L2 = K2.ⓘ{I} →
                            ∨∨ ∃∃K1. G ⊢ K1 ⫃![a,h] K2 & L1 = K1.ⓘ{I}
-                            | ∃∃K1,W,V. ⦃G, K1⦄ ⊢ ⓝW.V ![a,h] &
+                            | ∃∃K1,W,V. ⦃G,K1⦄ ⊢ ⓝW.V ![a,h] &
                                         G ⊢ K1 ⫃![a,h] K2 & I = BPair Abst W & L1 = K1.ⓓⓝW.V.
 #a #h #G #L1 #L2 * -L1 -L2
 [ #J #K2 #H destruct
@@ -90,7 +90,7 @@ qed-.
 (* Basic_2A1: uses: lsubsv_inv_pair2 *)
 lemma lsubv_inv_bind_dx (a) (h) (G): ∀I,L1,K2. G ⊢ L1 ⫃![a,h] K2.ⓘ{I} →
                         ∨∨ ∃∃K1. G ⊢ K1 ⫃![a,h] K2 & L1 = K1.ⓘ{I}
-                         | ∃∃K1,W,V. ⦃G, K1⦄ ⊢ ⓝW.V ![a,h] &
+                         | ∃∃K1,W,V. ⦃G,K1⦄ ⊢ ⓝW.V ![a,h] &
                                      G ⊢ K1 ⫃![a,h] K2 & I = BPair Abst W & L1 = K1.ⓓⓝW.V.
 /2 width=3 by lsubv_inv_bind_dx_aux/ qed-.