Israel was VERY clear before the vote in stating the conditions they were willing to agree with before the vote. The UN admitted Israel AFTER this.
And then the rest of that quote,
“I cannot honestly conceal from the Committee fhat even our full co-operation with all the means at our disposal will not avail to solve this question unless it is considered against the general back- ground of the Near East and unless similar co- operation from other neighbouring Govemments and a large measure of international assistance are invested in the solution of this problem on a regional basis.”
In short, we will cooperate, but the solution to this is regional and will not be solved by us alone.
Once again, please provide a straightforward quote in which the admission of Israel to the UN is conditional.