Does leaving for an obligatory matter invalidate the i'tikaf?

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If one leaves for an obligatory matter, such as the Jumu'ah prayer when required, the i'tikaf is not invalidated, provided the departure is not prolonged. This is supported by the analogy of a waiting woman ('iddah) leaving for her waiting period, or leaving to rescue someone drowning, extinguish a fire, or fulfill a specific mandatory testimony. Since the exit is for a necessary matter, the i'tikaf remains valid.