Metamath Proof Explorer


Theorem inv2

Description: The intersection of the universal class with a class is itself. A commuted form of inv1 . (Contributed by BTernaryTau, 24-Jun-2026)

Ref Expression
Assertion inv2 ⊢ V ∩ A = A

Proof

Step Hyp Ref Expression
1 inv1 ⊢ A ∩ V = A
2 1 ineqcomi ⊢ V ∩ A = A