resolve warnings related to eq_big_perm

change it to perm_big

classic/analysis/apa/interference_bound_edf.v

@@ -274,7 +274,7 @@ Module InterferenceBoundEDF.
           \sum_(j <- interfering_jobs) interference_caused_by j t1 t2 =
            \sum_(j <- sorted_jobs) interference_caused_by j t1 t2.
         Proof.
-          by rewrite (eq_big_perm sorted_jobs) /=; last by rewrite -(perm_sort earlier_arrival).
+          by rewrite (perm_big sorted_jobs) /=; last by rewrite -(perm_sort earlier_arrival).
         Qed.
 
         (* Note that both sequences have the same set of elements. *)
@@ -282,7 +282,7 @@ Module InterferenceBoundEDF.
           forall j,
             (j \in interfering_jobs) = (j \in sorted_jobs).
         Proof.
-          by apply perm_eq_mem; rewrite -(perm_sort earlier_arrival).
+          by apply perm_mem; rewrite -(perm_sort earlier_arrival).
         Qed.
 
         (* Also recall that all jobs in the sorted sequence is an interfering job of tsk_k, ... *)

classic/analysis/apa/workload_bound.v

@@ -231,7 +231,7 @@ Module WorkloadBound.
            \sum_(i <- sorted_jobs) service_during sched i t1 t2.
         Proof.
           unfold workload_joblist; fold scheduled_jobs.
-          rewrite (eq_big_perm sorted_jobs) /= //.
+          rewrite (perm_big sorted_jobs) /= //.
           by rewrite -(perm_sort earlier_arrival).
         Qed.
 
@@ -240,7 +240,7 @@ Module WorkloadBound.
           forall j,
             (j \in scheduled_jobs) = (j \in sorted_jobs).
         Proof.
-          by apply perm_eq_mem; rewrite -(perm_sort earlier_arrival).
+          by apply perm_mem; rewrite -(perm_sort earlier_arrival).
         Qed.
 
         (* Remember that all jobs in the sorted sequence is an

classic/analysis/global/basic/interference_bound_edf.v

@@ -260,7 +260,7 @@ Module InterferenceBoundEDF.
           \sum_(j <- interfering_jobs) interference_caused_by j t1 t2 =
            \sum_(j <- sorted_jobs) interference_caused_by j t1 t2.
         Proof.
-          by rewrite (eq_big_perm sorted_jobs) /=; last by rewrite -(perm_sort earlier_arrival).
+          by rewrite (perm_big sorted_jobs) /=; last by rewrite -(perm_sort earlier_arrival).
         Qed.
 
         (* Note that both sequences have the same set of elements. *)
@@ -268,7 +268,7 @@ Module InterferenceBoundEDF.
           forall j,
             (j \in interfering_jobs) = (j \in sorted_jobs).
         Proof.
-          by apply perm_eq_mem; rewrite -(perm_sort earlier_arrival).
+          by apply perm_mem; rewrite -(perm_sort earlier_arrival).
         Qed.
 
         (* Also recall that all jobs in the sorted sequence is an interfering job of tsk_k, ... *)

classic/analysis/global/basic/workload_bound.v

@@ -234,7 +234,7 @@ Module WorkloadBound.
            \sum_(i <- sorted_jobs) service_during sched i t1 t2.
         Proof.
           unfold workload_joblist; fold scheduled_jobs.
-          rewrite (eq_big_perm sorted_jobs) /= //.
+          rewrite (perm_big sorted_jobs) /= //.
           by rewrite -(perm_sort earlier_arrival).
         Qed.
 
@@ -243,7 +243,7 @@ Module WorkloadBound.
           forall j,
             (j \in scheduled_jobs) = (j \in sorted_jobs).
         Proof.
-          by apply perm_eq_mem; rewrite -(perm_sort earlier_arrival).
+          by apply perm_mem; rewrite -(perm_sort earlier_arrival).
         Qed.
 
         (* Remember that all jobs in the sorted sequence is an

classic/analysis/global/jitter/interference_bound_edf.v

@@ -271,7 +271,7 @@ Module InterferenceBoundEDFJitter.
           \sum_(j <- interfering_jobs) interference_caused_by j t1 t2 =
            \sum_(j <- sorted_jobs) interference_caused_by j t1 t2.
         Proof.
-          by rewrite (eq_big_perm sorted_jobs) /=; last by rewrite -(perm_sort earlier_arrival).
+          by rewrite (perm_big sorted_jobs) /=; last by rewrite -(perm_sort earlier_arrival).
         Qed.
 
         (* Note that both sequences have the same set of elements. *)
@@ -279,7 +279,7 @@ Module InterferenceBoundEDFJitter.
           forall j,
             (j \in interfering_jobs) = (j \in sorted_jobs).
         Proof.
-          by apply perm_eq_mem; rewrite -(perm_sort earlier_arrival).
+          by apply perm_mem; rewrite -(perm_sort earlier_arrival).
         Qed.
 
         (* Also recall that all jobs in the sorted sequence is an interfering job of tsk_k, ... *)

classic/analysis/global/jitter/workload_bound.v

@@ -241,7 +241,7 @@ Module WorkloadBoundJitter.
            \sum_(i <- sorted_jobs) service_during sched i t1 t2.
         Proof.
           unfold workload_joblist; fold scheduled_jobs.
-          rewrite (eq_big_perm sorted_jobs) /= //.
+          rewrite (perm_big sorted_jobs) /= //.
           by rewrite -(perm_sort earlier_arrival).
         Qed.
 
@@ -250,7 +250,7 @@ Module WorkloadBoundJitter.
           forall j,
             (j \in scheduled_jobs) = (j \in sorted_jobs).
         Proof.
-          by apply perm_eq_mem; rewrite -(perm_sort earlier_arrival).
+          by apply perm_mem; rewrite -(perm_sort earlier_arrival).
         Qed.
 
         (* Remember that all jobs in the sorted sequence is an

classic/analysis/global/parallel/interference_bound_edf.v

@@ -286,7 +286,7 @@ Module InterferenceBoundEDF.
           \sum_(j <- interfering_jobs) interference_caused_by j t1 t2 =
            \sum_(j <- sorted_jobs) interference_caused_by j t1 t2.
         Proof.
-          by rewrite (eq_big_perm sorted_jobs) /=; last by rewrite -(perm_sort earlier_arrival).
+          by rewrite (perm_big sorted_jobs) /=; last by rewrite -(perm_sort earlier_arrival).
         Qed.
 
         (* Note that both sequences have the same set of elements. *)
@@ -294,7 +294,7 @@ Module InterferenceBoundEDF.
           forall j,
             (j \in interfering_jobs) = (j \in sorted_jobs).
         Proof.
-          by apply perm_eq_mem; rewrite -(perm_sort earlier_arrival).
+          by apply perm_mem; rewrite -(perm_sort earlier_arrival).
         Qed.
 
         (* Also recall that all jobs in the sorted sequence is an interfering job of tsk_k, ... *)

classic/analysis/global/parallel/workload_bound.v

@@ -169,7 +169,7 @@ Module WorkloadBound.
            \sum_(i <- sorted_jobs) service_during sched i t1 t2.
         Proof.
           unfold workload_joblist; fold scheduled_jobs.
-          rewrite (eq_big_perm sorted_jobs) /= //.
+          rewrite (perm_big sorted_jobs) /= //.
           by rewrite -(perm_sort earlier_arrival).
         Qed.
 
@@ -178,7 +178,7 @@ Module WorkloadBound.
           forall j,
             (j \in scheduled_jobs) = (j \in sorted_jobs).
         Proof.
-          by apply perm_eq_mem; rewrite -(perm_sort earlier_arrival).
+          by apply perm_mem; rewrite -(perm_sort earlier_arrival).
         Qed.
 
         (* Remember that all jobs in the sorted sequence is an