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authorGravatar Jason Gross <jgross@mit.edu>2017-04-03 15:14:17 -0400
committerGravatar Jason Gross <jgross@mit.edu>2017-04-03 15:14:17 -0400
commit9009ddf4261bbf489874c4619a8c0397eb3f989d (patch)
treeb1fa7b5ff05300f1cca6f1eaf19b9fe3c601f6bf /src/Util/Sigma.v
parenteb20555b72dc38d4675cfb1e68203ad9be56a3d3 (diff)
Split off liftn_sig, add lift{3,4}_sig
Diffstat (limited to 'src/Util/Sigma.v')
-rw-r--r--src/Util/Sigma.v19
1 files changed, 0 insertions, 19 deletions
diff --git a/src/Util/Sigma.v b/src/Util/Sigma.v
index 693b8ef00..1c30219b7 100644
--- a/src/Util/Sigma.v
+++ b/src/Util/Sigma.v
@@ -211,25 +211,6 @@ Section ex.
Defined.
End ex.
-(* Lift foralls out of sig proofs *)
-Definition lift1_sig {A C} (P:A->C->Prop)
- (op_sig : forall (a:A), {c | P a c}) :
- { op : A -> C | forall (a:A), P a (op a) }
- := exist
- (fun op => forall a, P a (op a))
- (fun a => proj1_sig (op_sig a))
- (fun a => proj2_sig (op_sig a))
-.
-
-(* Lift foralls out of sig proofs *)
-Definition lift2_sig {A B C} (P:A->B->C->Prop)
- (op_sig : forall (a:A) (b:B), {c | P a b c}) :
- { op : A -> B -> C | forall (a:A) (b:B), P a b (op a b) }
- := exist
- (fun op => forall a b, P a b (op a b))
- (fun a b => proj1_sig (op_sig a b))
- (fun a b => proj2_sig (op_sig a b)).
-
Definition projT2_map {A P Q} (f : forall a, P a -> Q a) (x : @sigT A P) : @sigT A Q
:= let 'existT a p := x in existT Q a (f a p).
Definition proj2_sig_map {A} {P Q : A -> Prop} (f : forall a, P a -> Q a) (x : @sig A P) : @sig A Q