Talmud for Menachot 55:2
אמר מר ושבפנים ושבמצורע שלא לשמן פסולות שלא מכוונות כשרות והתניא בין שלא לשמן בין שלא מכוונות כשרות
and sprinkled. The Master said, 'But as for those [sprinklings which must be performed] inside, or [the sprinklings in the purification rites] of a leper, if they were made under the name of some other [offering], they are invalid, but if they were not rightly directed, they are valid'.
Tractate Tzitzit
[The absence of one] of the four zizith invalidates the others, because all of them [constitute] a single religious observance. R. Ishmael says: They are four independent observances.
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