(* NOTE: OEIS sequence identifiers
P(n): A016777 "3n+1"
-*)
+ T(n): A155504 "(3h+1)*3^(k+1)"
+*)
-inductive P: nat \to Prop \def
+inductive P: nat → Prop ≝
| p1: P 1
- | p2: \forall i,j. T i \to P j \to P (i + j)
-with T: nat \to Prop \def
- | t1: \forall i. P i \to T (i * 3)
- | t2: \forall i. T i \to T (i * 3)
+ | p2: ∀i,j. T i → P j → P (i + j)
+with T: nat → Prop ≝
+ | t1: ∀i. P i → T (i * 3)
+ | t2: ∀i. T i → T (i * 3)
.
-inductive S: nat \to Prop \def
- | s1: \forall i. P i \to S (i * 2)
- | s2: \forall i. T i \to S (i * 2)
+inductive S: nat → Prop ≝
+ | s1: ∀i. P i → S (i * 2)
+ | s2: ∀i. T i → S (i * 2)
.