Metamath Proof Explorer


Theorem prtlem80

Description: Lemma for prter2 . (Contributed by Rodolfo Medina, 17-Oct-2010)

Ref Expression
Assertion prtlem80 ⊢ A ∈ B → ¬ A ∈ C ∖ A

Proof

Step Hyp Ref Expression
1 neldifsnd ⊢ A ∈ B → ¬ A ∈ C ∖ A