Question

I am totally stuck and can't think of a word. if it is the opposite, like for example, the ____ of the reflexive property of equality. Like you use the theorem or postulate backwards.

Answer 1

@Directrix

Answer 2

@sithsandgiggles

Answer 3

Converse

Answer 4

If p implies q, then the converse of that is q implies p.

Answer 5

I have not heard of a converse of the Reflexive property.
Could you be thinking of the Symmetric property.@BATMAN31

Answer 6

@BATMAN31

Answer 7

I do not understand the question kinda.

Answer 8

thanks, I am tired and had a brain fart.

Answer 9

here's your medal for putting up with me

Answer 10

p->q is equivalent to not q->not p
these statements are contrapositives of each other

Answer 11

But anyways I'm not really sure what you are saying or asking.

Answer 12

what about the irreflexive property ?

Answer 13

Given \(p\implies q\), you have
\[\begin{array}{l|c}
\text{Inverse}&\neg p\implies \neg q\\
\hline
\text{Converse}&q\implies p\\
\hline
\text{Contrapositive}&\neg q\implies \neg p
\end{array}\]