Metamath Proof Explorer


Theorem ttcsnidg

Description: The singleton transitive closure contains its argument A as an element. (Contributed by Matthew House, 6-Apr-2026)

Ref Expression
Assertion ttcsnidg Could not format assertion : No typesetting found for |- ( A e. V -> A e. TC+ { A } ) with typecode |-

Proof

Step Hyp Ref Expression
1 ttcid Could not format { A } C_ TC+ { A } : No typesetting found for |- { A } C_ TC+ { A } with typecode |-
2 snidg A V A A
3 1 2 sselid Could not format ( A e. V -> A e. TC+ { A } ) : No typesetting found for |- ( A e. V -> A e. TC+ { A } ) with typecode |-