diff --git a/src/Quantifiers.lagda b/src/Quantifiers.lagda index f9a3c976..8cd9abfb 100644 --- a/src/Quantifiers.lagda +++ b/src/Quantifiers.lagda @@ -312,11 +312,11 @@ must show it is odd. We induct over the evidence of the existential, and in the even case consider the two possibilities for the number that is doubled. -- In the even case for `zero`, we must show `2 * zero` is even, which +- In the even case for `zero`, we must show `zero * 2` is even, which follows by `even-zero`. -- In the even case for `suc n`, we must show `2 * suc m` is even. The -inductive hypothesis tells us that `1 + 2 * m` is odd, from which the +- In the even case for `suc n`, we must show `suc m * 2` is even. The +inductive hypothesis tells us that `1 + m * 2` is odd, from which the desired result follows by `even-suc`. - In the odd case, we must show `1 + m * 2` is odd. The inductive