The meaning of condition

A: All Praise is due to Allah. Peace and blessings be upon His Messenger, his family, and Companions. To commence: Condition is defined as a proposition on which another proposition depends; thus if it is not present the dependent proposition does not exist, but if it is fulfilled, the dependent may and may not follow. For example, Salah (Prayer) is conditional on Islam, thus if a person is a non-Muslim, his Salah will be invalid even if he performs Salah. However, if the condition is fulfilled, it does not necessitate the existence of a dependent matter, [i.e. Being a Muslim does not necessitate the validity of Salah]. For example, the due time is a condition of Salah, thus if the time is due, the competent worshipper is obliged to perform it. However, one may not perform it, because of an excuse or one may be exempted from this obligation; here the condition (due time) is existent but the dependant (Prayer) is not present.May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.