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Converse implication is the converse of implication. That is to say; that for any two propositions P and Q, if Q implies P, then P is the converse implication of Q.
Contents
It may take the following forms:
Truth table
The truth table of A⊂B
Venn diagram
The Venn diagram of "If B then A" (the white area shows where the statement is false)
Properties
truth-preserving: The interpretation under which all variables are assigned a truth value of 'true' produces a truth value of 'true' as a result of converse implication.
Natural language
"Not q without p."
"p if q."
Boolean Algebra
(A + B')
References
Converse implication Wikipedia(Text) CC BY-SA