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Syntax Definition wi 4
Description: If 𝜑 and 𝜓 are wff's, so is (𝜑𝜓) or "𝜑 implies 𝜓." Part of the recursive definition of a wff. The left-hand wff is called the antecedent, and the right-hand wff is called the consequent. In the case of (𝜑 → (𝜓𝜒)), the middle 𝜓 may be informally called either an antecedent or part of the consequent depending on context.
Hypotheses
Ref Expression
wph wff 𝜑
wps wff 𝜓
Assertion
Ref Expression
wi wff (𝜑𝜓)

This syntax is primitive. The first axiom using it is ax-1 5.

Colors of variables: wff set class
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