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Diffstat (limited to 'src/Util/Tower.v')
| -rw-r--r-- | src/Util/Tower.v | 18 |
1 files changed, 18 insertions, 0 deletions
diff --git a/src/Util/Tower.v b/src/Util/Tower.v new file mode 100644 index 000000000..6bcd44bf4 --- /dev/null +++ b/src/Util/Tower.v @@ -0,0 +1,18 @@ +Require Export Crypto.Util.FixCoqMistakes. + +Definition apply9 {AK BK PA PB ARR} + (F : forall (A : AK) (B : BK), (PA A -> PB B) -> PB (ARR A B)) + {A0 A1 A2 A3 A4 A5 A6 A7 A8 : AK} {B : BK} + (f : PA A0 -> PA A1 -> PA A2 -> PA A3 -> PA A4 -> PA A5 -> PA A6 -> PA A7 -> PA A8 -> PB B) + : PB (ARR A0 (ARR A1 (ARR A2 (ARR A3 (ARR A4 (ARR A5 (ARR A6 (ARR A7 (ARR A8 B))))))))). +Proof. + repeat (apply F; intro); apply f; assumption. +Defined. + +Definition apply9_nd {BK PA PB ARR} + (F : forall (B : BK), (PA -> PB B) -> PB (ARR B)) + {B : BK} + (f : PA -> PA -> PA -> PA -> PA -> PA -> PA -> PA -> PA -> PB B) + : PB (ARR (ARR (ARR (ARR (ARR (ARR (ARR (ARR (ARR B))))))))) + := @apply9 unit BK (fun _ => PA) PB (fun _ => ARR) (fun _ => F) + tt tt tt tt tt tt tt tt tt B f. |