ax3

Axiom. Axiom Transp.

Description:

Axiom A3 of [Margaris] p. 49. One of the 3 axioms of propositional calculus. It swaps or transposes the order of the consequents when negation is removed. An informal example is that the statement "if there are no clouds in the sky, it is not raining" implies the statement "if it is raining, there are clouds in the sky." This axiom is called Transp or "the principle of transposition" in Principia Mathematca (Theorem *2.17, p. 103).

Arguments:

(pr), (pr),

Assertions:

(()())