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Axiom ax-ia3 106
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 102 . . 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  113  pm3.2  137  pm5.54dc  861  pclem6  1306  xoranor  1309  ax10oe  1720  2pwuninelg  5979  dmaddpq  6840  dmmulpq  6841  ltsopr  7057  ax1hfs  11228
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