How close can we come to proving that white draws?

[towforce]

Meanwhile, some here suggested that proving that
White can always draw would be an important first
step, and i'm close to already have proven this now
(in my previous posting).

Yet, unfortunately, after this step, the second step
in the actual game of chess (not a game where White
always can win) becomes a lot harder, i think.

I think you've already explained this, so sorry for asking again, but why would proving that black can get a draw be an order of magnitude more difficult than proving that white can get a draw?

They start in more or less the same position, and the only difference is one tempo (in many games, this tempo advantage just disappears as the game goes on).

[jefk]

"why would proving that black can get a draw be an order of magnitude more difficult than proving that white can get a draw?"

because it's more specific for chess i think, currently i can not
think of other ideas than 'drawing margin'.
While White has (a bit) more move options(*), Black also keeps enough options
so not really zugzwang i think, but to show that B. also keeps
enough options to draw is a matter of game theory/strategy.

Eg. losing a piece is often enough to lose, except in some
endgame positions

(*) simple as that; some may disagree that this means an
advantage, but for me it's common sense; otherwise
i make it matter of definition