lean4-htt/tests/lean/run/finMatch.lean

13 lines
343 B
Text

variable (F : Fin 4 → Type) (a : F 0 → F 1) (b : F 1 → F 2) (c : F 2 → F 3)
def map : (i j : Fin 4) → (hij : i ≤ j) → F i → F j
| 0, 0, _ => id
| 1, 1, _ => id
| 2, 2, _ => id
| 3, 3, _ => id
| 0, 1, _ => a
| 0, 2, _ => b ∘ a
| 0, 3, _ => c ∘ b ∘ a
| 1, 2, _ => b
| 1, 3, _ => c ∘ b
| 2, 3, _ => c