diff options
Diffstat (limited to 'src/Util/Sigma')
| -rw-r--r-- | src/Util/Sigma/Lift.v | 11 |
1 files changed, 11 insertions, 0 deletions
diff --git a/src/Util/Sigma/Lift.v b/src/Util/Sigma/Lift.v index c57172029..22f966d09 100644 --- a/src/Util/Sigma/Lift.v +++ b/src/Util/Sigma/Lift.v @@ -31,3 +31,14 @@ Definition lift4_sig {A B C D E} (P:A->B->C->D->E->Prop) (fun op => forall a b c d, P a b c d (op a b c d)) (fun a b c d => proj1_sig (op_sig a b c d)) (fun a b c d => proj2_sig (op_sig a b c d)). + +Definition lift4_sig_sig {A B C D E} {E' : A -> B -> C -> D -> E -> Prop} + (P:forall (a:A) (b:B) (c:C) (d:D) (e:E), E' a b c d e -> Prop) + (op_sig : forall (a:A) (b:B) (c:C) (d:D), {e : {e : E | E' a b c d e } | P a b c d (proj1_sig e) (proj2_sig e) }) + (opTP := fun op : A -> B -> C -> D -> E => forall a b c d, E' a b c d (op a b c d)) + : { op : sig opTP + | forall (a:A) (b:B) (c:C) (d:D), P a b c d (proj1_sig op a b c d) (proj2_sig op a b c d) } + := exist + (fun op : sig opTP => forall a b c d, P a b c d (proj1_sig op a b c d) (proj2_sig op a b c d)) + (exist opTP (fun a b c d => proj1_sig (proj1_sig (op_sig a b c d))) (fun a b c d => proj2_sig (proj1_sig (op_sig a b c d)))) + (fun a b c d => proj2_sig (op_sig a b c d)). |