Metamath Proof Explorer


Theorem nmulridd

Description: Identity law for natural multiplication. Deduction form. (Contributed by Scott Fenton, 30-Jul-2026)

Ref Expression
Hypothesis nmul.1
|- ( ph -> A e. On )
Assertion nmulridd
|- ( ph -> ( A .no 1o ) = A )

Proof

Step Hyp Ref Expression
1 nmul.1
 |-  ( ph -> A e. On )
2 nmulrid
 |-  ( A e. On -> ( A .no 1o ) = A )
3 1 2 syl
 |-  ( ph -> ( A .no 1o ) = A )