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Axiom ax-ia3 101
Description: 'And' introduction. One of the axioms of propositional logic. (Contributed by Mario Carneiro, 31-Jan-2015.)
Assertion
Ref Expression
ax-ia3 (𝜑 → (𝜓 → (𝜑𝜓)))

Detailed syntax breakdown of Axiom ax-ia3
StepHypRef Expression
1 wph . 2 wff 𝜑
2 wps . . 3 wff 𝜓
31, 2wa 97 . . 3 wff (𝜑𝜓)
42, 3wi 4 . 2 wff (𝜓 → (𝜑𝜓))
51, 4wi 4 1 wff (𝜑 → (𝜓 → (𝜑𝜓)))
Colors of variables: wff set class
This axiom is referenced by:  ex  108  pm3.2  126  pm5.54dc  827  pclem6  1265  xoranor  1268  ax10oe  1678  2pwuninelg  5876  dmaddpq  6449  dmmulpq  6450  ltsopr  6666  ax1hfs  9762
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