The false statement in the following is

• A

  $\mathrm{p}\wedge (~\mathrm{p})$ is a contradiction

• B

  $(\mathrm{p}\Rightarrow \mathrm{q})\iff (~\mathrm{q}\Rightarrow \sim \mathrm{p})$ is a contradiction

• C

  $~(~\mathrm{p})\iff \mathrm{p}$ is a tautology

• D

  $\mathrm{p}\vee (~\mathrm{p})$ is a tautology