A simle proof of Fermat's last theorem

[vlad]

Submitted by Anon to the main page:

1) Fermat theorem has this equivalent theorem:

X^n+Y^n ?= Z^n (1)

(X, Y, Z :fractional-rational numbers, n: natural number >2)

2) Let’s divide (1) by (Z-X)^n, then we can also prove that there exists this equivalent theorem:

X’^n+Y’^n ?= Z’^n and Z’ =X’ +1

(X’, Y’, Z’ :fractional-rational numbers, n: natural number >2)

3) Please note that a theorem is a mathematical structure, in which the symbols are not important, then we can have this theorem:

X^n+Y^n ?= Z^n and Z =X +1 (*)

(X, Y, Z :fractional-rational numbers, n: natural number >2)

This is, exactly, the theorem 1) with an additional condition Z=X+1.

Then:

a) Please check theorem 3) with any X that is an integer and with any Y that is a real fractional–rational number (such as 5/3, 15/7…: they are rational-fractional numbers that cannot be reduced to integers).

b) Please check theorem 3) with any X that is a real fractional–rational number and with any Y that is an integer.

This simple proof of Fermat theorem is clear enough.