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Axiom ax-nuad 217
Description: Distribution of ν over .
Assertion
Ref Expression
ax-nuad x(𝜑𝜓) ⧟ (νx𝜑 ⊕ νx𝜓))

Detailed syntax breakdown of Axiom ax-nuad
StepHypRef Expression
1 wph . . . 4 wff 𝜑
2 wps . . . 4 wff 𝜓
31, 2wad 131 . . 3 wff (𝜑𝜓)
4 vx . . 3 var x
53, 4wnu 206 . 2 wff νx(𝜑𝜓)
61, 4wnu 206 . . 3 wff νx𝜑
72, 4wnu 206 . . 3 wff νx𝜓
86, 7wad 131 . 2 wffx𝜑 ⊕ νx𝜓)
95, 8wlb 55 1 wffx(𝜑𝜓) ⧟ (νx𝜑 ⊕ νx𝜓))
Colors of variables: wff var nilad
This axiom is referenced by: (None)
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