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Metamath Proof Explorer

Theorem unt0

Description: The null set is untangled. (Contributed by Scott Fenton, 10-Mar-2011) (Proof shortened by Andrew Salmon, 27-Aug-2011)

Ref Expression
Assertion unt0 ∀ 𝑥 ∈ ∅ ¬ 𝑥 ∈ 𝑥

Proof

Step Hyp Ref Expression
1 ral0 ⊢ ∀ 𝑥 ∈ ∅ ¬ 𝑥 ∈ 𝑥