Metamath Proof Explorer


Theorem pssirrOLD

Description: Obsolete version of pssirr as of 10-Jun-2026. (Contributed by NM, 7-Feb-1996) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion pssirrOLD ⊢ ¬ A ⊂ A

Proof

Step Hyp Ref Expression
1 pm3.24 ⊢ ¬ A ⊆ A ∧ ¬ A ⊆ A
2 dfpss3 ⊢ A ⊂ A ↔ A ⊆ A ∧ ¬ A ⊆ A
3 1 2 mtbir ⊢ ¬ A ⊂ A