Metamath Proof Explorer


Theorem ttceqd

Description: Equality deduction for transitive closure. (Contributed by Matthew House, 6-Apr-2026)

Ref Expression
Hypothesis ttceqd.1 φ A = B
Assertion ttceqd Could not format assertion : No typesetting found for |- ( ph -> TC+ A = TC+ B ) with typecode |-

Proof

Step Hyp Ref Expression
1 ttceqd.1 φ A = B
2 ttceq Could not format ( A = B -> TC+ A = TC+ B ) : No typesetting found for |- ( A = B -> TC+ A = TC+ B ) with typecode |-
3 1 2 syl Could not format ( ph -> TC+ A = TC+ B ) : No typesetting found for |- ( ph -> TC+ A = TC+ B ) with typecode |-