milestone update in ground

[helm.git] / matita / matita / contribs / lambdadelta / ground / lib / functions.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/lib/functions.ma b/matita/matita/contribs/lambdadelta/ground/lib/functions.ma
index fd0c31a49e3a09eb4dd043954b3f33a2b1281c21..d0eddaea1aea562996297a9447b57b3bc22b7523 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground/lib/functions.ma
+++ b/matita/matita/contribs/lambdadelta/ground/lib/functions.ma
@@ -16,19 +16,25 @@ include "ground/lib/relations.ma".
 
 (* FUNCTIONS ****************************************************************)
 
-definition left_identity (A) (f): predicate A ≝ λi. ∀a:A. a = f i a.
+definition left_identity (A) (f):
+           predicate A ≝
+           λi. ∀a:A. a = f i a.
 
-definition right_identity (A) (f): predicate A ≝ λi. ∀a:A. a = f a i.
+definition right_identity (A) (f):
+           predicate A ≝
+           λi. ∀a:A. a = f a i.
 
 definition compatible_2 (A) (B):
-                        relation3 … (relation A) (relation B) ≝
-                        λf,Sa,Sb.
-                        ∀a1,a2. Sa a1 a2 → Sb (f a1) (f a2).
+           relation3 … (relation A) (relation B) ≝
+           λf,Sa,Sb.
+           ∀a1,a2. Sa a1 a2 → Sb (f a1) (f a2).
 
 definition compatible_3 (A) (B) (C):
-                        relation4 … (relation A) (relation B) (relation C) ≝
-                        λf,Sa,Sb,Sc.
-                        ∀a1,a2. Sa a1 a2 → ∀b1,b2. Sb b1 b2 → Sc (f a1 b1) (f a2 b2).
+           relation4 … (relation A) (relation B) (relation C) ≝
+           λf,Sa,Sb,Sc.
+           ∀a1,a2. Sa a1 a2 → ∀b1,b2. Sb b1 b2 → Sc (f a1 b1) (f a2 b2).
 
-definition annulment_2 (A) (f): predicate A ≝
-                       λi:A. ∀a1,a2. i = f a1 a2 → ∧∧ i = a1 & i = a2.
+definition annulment_2 (A) (f):
+           predicate A ≝
+           λi:A.
+           ∀a1,a2. i = f a1 a2 → ∧∧ i = a1 & i = a2.