以下两个句子都正确（is 前面都是主语，但是 being 不能与for连用，to be必须与for连用）：

There being a swimming pool in our school is what we expect.

For there to be a swimming pool in our school is what we expect.

例句：

There being an index to this dictionary is a great advantage. 这本词典有索引非常方便。

For there to be so few students in the reading room was unusual. 阅览室里只有这么几个学生是少有的。

同意黎老师的解答。网友要找语法书的依据。我提供一处，来自张克礼的《新英语语法》，供参考：

https://www.cpsenglish.com/article/127

点击以上链接可能对你的问题有帮助

【1】There being a swimming pool in our school is what we expect.【动名词复合结构作主语】

【备注:There being+名词结构作句子主语,there为being逻辑主语】

【2】What we expect is for there to be a swimming pool in our school.【不定式复合结构作表语】

【备注:for there to be +名词结构作句子表语，there为to be逻辑主语】