Theorem nmullid

Description: Identity law for natural multiplication. (Contributed by Scott Fenton, 21-Jul-2026)

	Ref	Expression
Assertion	nmullid	Could not format assertion : No typesetting found for |- ( A e. On -> ( 1o .no A ) = A ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		1on	$$⊢1_{𝑜}\in \mathrm{On}$$
2		nmulcom	Could not format ( ( 1o e. On /\ A e. On ) -> ( 1o .no A ) = ( A .no 1o ) ) : No typesetting found for |- ( ( 1o e. On /\ A e. On ) -> ( 1o .no A ) = ( A .no 1o ) ) with typecode |-
3	1 2	mpan	Could not format ( A e. On -> ( 1o .no A ) = ( A .no 1o ) ) : No typesetting found for |- ( A e. On -> ( 1o .no A ) = ( A .no 1o ) ) with typecode |-
4		nmulrid	Could not format ( A e. On -> ( A .no 1o ) = A ) : No typesetting found for |- ( A e. On -> ( A .no 1o ) = A ) with typecode |-
5	3 4	eqtrd	Could not format ( A e. On -> ( 1o .no A ) = A ) : No typesetting found for |- ( A e. On -> ( 1o .no A ) = A ) with typecode |-