Metamath Proof Explorer


Theorem bj-sngltagi

Description: The singletonization is included in the tagging. (Contributed by BJ, 6-Oct-2018)

Ref Expression
Assertion bj-sngltagi ( 𝐴 ∈ sngl 𝐵 → 𝐴 ∈ tag 𝐵 )

Proof

Step Hyp Ref Expression
1 bj-snglsstag ⊢ sngl 𝐵 ⊆ tag 𝐵
2 1 sseli ⊢ ( 𝐴 ∈ sngl 𝐵 → 𝐴 ∈ tag 𝐵 )