Metamath Proof Explorer


Theorem ttc0

Description: The transitive closure of the empty set is the empty set. (Contributed by Matthew House, 6-Apr-2026)

Ref Expression
Assertion ttc0 Could not format assertion : No typesetting found for |- TC+ (/) = (/) with typecode |-

Proof

Step Hyp Ref Expression
1 tr0 Tr
2 ttctrid Could not format ( Tr (/) -> TC+ (/) = (/) ) : No typesetting found for |- ( Tr (/) -> TC+ (/) = (/) ) with typecode |-
3 1 2 ax-mp Could not format TC+ (/) = (/) : No typesetting found for |- TC+ (/) = (/) with typecode |-