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-rw-r--r--src/Util/Fieldwise.v42
1 files changed, 0 insertions, 42 deletions
diff --git a/src/Util/Fieldwise.v b/src/Util/Fieldwise.v
deleted file mode 100644
index f2f0b5acb..000000000
--- a/src/Util/Fieldwise.v
+++ /dev/null
@@ -1,42 +0,0 @@
-Require Import Coq.Classes.Morphisms.
-Require Import Relation_Definitions.
-
-Fixpoint tuple' n T : Type :=
- match n with
- | O => T
- | S n' => (tuple' n' T * T)%type
- end.
-
-Definition tuple n T : Type :=
- match n with
- | O => unit
- | S n' => tuple' n' T
- end.
-
-Fixpoint fieldwise' {A B} (n:nat) (R:A->B->Prop) (a:tuple' n A) (b:tuple' n B) {struct n} : Prop.
- destruct n; simpl @tuple' in *.
- { exact (R a b). }
- { exact (R (snd a) (snd b) /\ fieldwise' _ _ n R (fst a) (fst b)). }
-Defined.
-
-Definition fieldwise {A B} (n:nat) (R:A->B->Prop) (a:tuple n A) (b:tuple n B) : Prop.
- destruct n; simpl @tuple in *.
- { exact True. }
- { exact (fieldwise' _ R a b). }
-Defined.
-
-Global Instance Equivalence_fieldwise' {A} {R:relation A} {R_equiv:Equivalence R} {n:nat}:
- Equivalence (fieldwise' n R).
-Proof.
- induction n; [solve [auto]|].
- simpl; constructor; repeat intro; intuition eauto.
-Qed.
-
-Global Instance Equivalence_fieldwise {A} {R:relation A} {R_equiv:Equivalence R} {n:nat}:
- Equivalence (fieldwise n R).
-Proof.
- destruct n; (repeat constructor || apply Equivalence_fieldwise').
-Qed.
-
-Arguments fieldwise' {A B n} _ _ _.
-Arguments fieldwise {A B n} _ _ _. \ No newline at end of file