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Metamath Proof Explorer

Theorem abanssr

Description: A class abstraction with a conjunction is a subset of the class abstraction with the right conjunct only. (Contributed by AV, 7-Aug-2024) (Proof shortened by SN, 22-Aug-2024)

Ref Expression
Assertion abanssr ⊢ f | φ ∧ ψ ⊆ f | ψ

Proof

Step Hyp Ref Expression
1 simpr ⊢ φ ∧ ψ → ψ
2 1 ss2abi ⊢ f | φ ∧ ψ ⊆ f | ψ