Metamath Proof Explorer


Theorem bj-snglsstag

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

Ref Expression
Assertion bj-snglsstag sngl 𝐴 ⊆ tag 𝐴

Proof

Step Hyp Ref Expression
1 ssun1 sngl 𝐴 ⊆ ( sngl 𝐴 ∪ { ∅ } )
2 df-bj-tag tag 𝐴 = ( sngl 𝐴 ∪ { ∅ } )
3 1 2 sseqtrri sngl 𝐴 ⊆ tag 𝐴