Mathematical Re...

The contrapositive of "if in a triangle $$ABC, AB=AC$$, then $$\angle B=\angle C$$", is

$$p$$: He is hard working.
$$q$$: He is intelligent.
Then $$ \sim q\Rightarrow\sim p$$, represents

$$p:$$ He is hard working.
$$q:$$ He will win.
The symbolic form of "If he will not win then he is not hard working", is

The converse of: "If two triangles are congruent then they are similar" is

 $$p\wedge (\sim p) \Rightarrow p$$ is 

The contrapositive of $$  p\Rightarrow q$$, is

The inverse of "If $$x$$ has courage, then $$x$$ will win", is

$$p:$$ He is hard working.
$$q:$$ He will win.
The symbolic form of "He is hard working then he will win", is

The converse of $$ p\Rightarrow q$$, is

The converse of "If in a triangle $$ABC, AB=AC$$, then $$\angle B=\angle C$$", is