11 lines
263 B
Text
11 lines
263 B
Text
|
import data.nat.basic
|
|||
|
open nat
|
|||
|
|
|||
|
theorem zero_left (n : ℕ) : 0 + n = n :=
|
|||
|
nat.induction_on n
|
|||
|
!add.zero_right
|
|||
|
(take m IH, show 0 + succ m = succ m, from
|
|||
|
calc
|
|||
|
0 + succ m = succ (0 + m) : add.succ_right
|
|||
|
... = succ m : IH)
|