'Application C A = (Appl C A).
notation "hvbox( # term 90 i )"
- non associative with precedence 55
+ non associative with precedence 90
for @{ 'VariableReferenceByIndex $i }.
-notation "hvbox( 𝛌 . term 55 A )"
- non associative with precedence 55
+notation "hvbox( 𝛌 . term 46 A )"
+ non associative with precedence 46
for @{ 'Abstraction $A }.
-notation > "hvbox( 𝛌 term 55 A )"
- non associative with precedence 55
- for @{ 'Abstraction $A }.
-
-notation "hvbox( @ term 55 C . break term 55 A )"
- non associative with precedence 55
+notation "hvbox( @ term 46 C . break term 46 A )"
+ non associative with precedence 46
for @{ 'Application $C $A }.
+
+definition appl_compatible_dx: predicate (relation term) ≝ λR.
+ ∀B,A1,A2. R A1 A2 → R (@B.A1) (@B.A2).
+
+lemma star_appl_compatible_dx: ∀R. appl_compatible_dx R →
+ appl_compatible_dx (star … R).
+#R #HR #B #A1 #A2 #H elim H -A2 // /3 width=3/
+qed.