'stand for the proposition' is a correct and usable phrase in written English.
You can use it when you are presenting a point of view or an argument. For example: "My colleagues and I stand for the proposition that the new tax policy should be reconsidered."
But those cases did not mention standing and so do not stand for the proposition that no jurisdictional defects existed.
That case and its progeny * stand for the proposition that one may not constitutionally be convicted of a crime upon evidence including a confession involuntarily made.
Syllabus point five of Hatten does not stand for the proposition that the existence of duty is a question of fact.
Steele and Vaca assuredly do stand for the proposition that a worker injured by his union's breach of duty must at least be made whole.
Our country's morality should stand for the proposition that we kill only when there is no other reasonable way to protect ourselves.
Taken together, they stand for the proposition that NEPA can require the environmental impacts of coal mining, and of the power plants that burn the coal, to be considered together if they are linked closely enough.
One may assume that this precedent stands for the proposition that proposals remain viable forever.
"It stands for the proposition that productivity is a basic element in this round of bargaining".
As we read Gannon, it stands for the proposition that the necessity for transfer will depend upon the totality of the surrounding facts.
Baker stands for the proposition that "in certain circumstances", the duty of procedural fairness will require "some form of reasons" for a decision (para. 43).
The caselaw she cites merely stands for the proposition that inability to pay a fine should not, by itself, lead to imprisonment.
