Claim 1: Carrion may not be eaten. The prohibition of carrion directly addresses that claim.
Claim 2: Any carcass entering water necessarily contaminates it. The same wording alone does not establish that further conclusion; rules of water purity are needed.
Claim 3: A garment may be cleansed with water. The command to wash it with water directly supports that method.
Claim 4: No other substance can ever cleanse the garment. That exclusivity does not follow without an additional indicator.
Citing a source is not enough: the cited wording must actually support the precise conclusion.