- #1
amilapsn
- 22
- 0
Homework Statement
This question may seem as an axiom to some. I also feel the same.
Prove:
##\forall x\forall y\ p(x,y)\Leftrightarrow\forall y\forall x\ p(x,y)##
The Attempt at a Solution
[/B]
##Assume\ \forall x\forall y\ p(x,y)##
##Let\ x_0\in \mathbb{R}##
##\ \ \therefore \ \forall y \ p(x_0,y)##
##\ \ Let\ y_0\in \mathbb{R}##
##\ \ \ \ \therefore\ p(x_0,y_0)##
From here onwards I'm stuck. Someone please help me to prove this (using only algebraic methods).