decentralizing core notation

[helm.git] / matita / matita / lib / re / reb.ma

diff --git a/matita/matita/lib/re/reb.ma b/matita/matita/lib/re/reb.ma
index e1d85641f3736aad7286038c31cfedcd0996bbac..2c5b129d228e7c87bb4d537c39e47a28cb22dab1 100644 (file)
--- a/matita/matita/lib/re/reb.ma
+++ b/matita/matita/lib/re/reb.ma
@@ -14,6 +14,7 @@
 
 include "arithmetics/nat.ma".
 include "basics/lists/list.ma".
+include "basics/core_notation/singl_1.ma".
 
 interpretation "iff" 'iff a b = (iff a b).  
 
@@ -86,6 +87,8 @@ definition cat : ∀S,l1,l2,w.Prop ≝
   λS.λl1,l2.λw:word S.∃w1,w2.w1 @ w2 = w ∧ l1 w1 ∧ l2 w2.
 interpretation "cat lang" 'pc a b = (cat ? a b).
 
+(* BEGIN HERE 
+
 definition star ≝ λS.λl.λw:word S.∃lw.flatten ? lw = w ∧ conjunct ? lw l. 
 interpretation "star lang" 'pk l = (star ? l).
 
@@ -253,11 +256,11 @@ definition reclose ≝ lift eclose.
 interpretation "reclose" 'eclose x = (reclose ? x).
 
 definition eq_f1 ≝ λS.λa,b:word S → Prop.∀w.a w ↔ b w.
-notation "A =1 B" non associative with precedence 45 for @{'eq_f1 $A $B}.
+notation "A ≐ B" non associative with precedence 45 for @{'eq_f1 $A $B}.
 interpretation "eq f1" 'eq_f1 a b = (eq_f1 ? a b).
 
 (*
-lemma epsilon_or : ∀S:Alpha.∀b1,b2. ϵ(b1 || b2) =1 ϵ b1 ∪ ϵ b2. 
+lemma epsilon_or : ∀S:Alpha.∀b1,b2. ϵ(b1 || b2) ≐ ϵ b1 ∪ ϵ b2. 
 ##[##2: napply S]
 #S b1 b2; ncases b1; ncases b2; napply extP; #w; nnormalize; @; /2/; *; //; *;
 nqed.
@@ -269,7 +272,7 @@ nlemma cupC : ∀S. ∀a,b:word S → Prop.a ∪ b = b ∪ a.
 #S a b; napply extP; #w; @; *; nnormalize; /2/; nqed.*)
 
 (* theorem 16: 2 *)
-lemma oplus_cup : ∀S:Alpha.∀e1,e2:pre S.\sem{e1 ⊕ e2} =1 \sem{e1} ∪ \sem{e2}.
+lemma oplus_cup : ∀S:Alpha.∀e1,e2:pre S.\sem{e1 ⊕ e2} ≐ \sem{e1} ∪ \sem{e2}.
 #S * #i1 #b1  * #i2 #b2 >lo_def normalize in ⊢ (?%?);
 
 #w cases b1 cases b2 normalize % #w r1; ncases r1; #e1 b1 r2; ncases r2; #e2 b2;
@@ -776,3 +779,4 @@ ntheorem der1: ∀S,a,e,e',w. der S a e e' → in_l S w e' → in_l S (a::w) e.
      | #x; #y; #z; #w; #a; #b; #c; #d; #K; ncases (?:False); /2/ ]
 ##| #r1; #r2; #r1'; #r2'; #H1; #H2; #H3; #H4; #H5; #H6;
 
+*)