Theorem naddword2

Description: Weak-ordering principle for natural addition. (Contributed by Scott Fenton, 15-Feb-2025)

	Ref	Expression
Assertion	naddword2	Could not format assertion : No typesetting found for |- ( ( A e. On /\ B e. On ) -> A C_ ( B +no A ) ) with typecode |-

Proof

Step	Hyp	Ref	Expression
1		naddword1	Could not format ( ( A e. On /\ B e. On ) -> A C_ ( A +no B ) ) : No typesetting found for |- ( ( A e. On /\ B e. On ) -> A C_ ( A +no B ) ) with typecode |-
2		naddcom	Could not format ( ( A e. On /\ B e. On ) -> ( A +no B ) = ( B +no A ) ) : No typesetting found for |- ( ( A e. On /\ B e. On ) -> ( A +no B ) = ( B +no A ) ) with typecode |-
3	1 2	sseqtrd	Could not format ( ( A e. On /\ B e. On ) -> A C_ ( B +no A ) ) : No typesetting found for |- ( ( A e. On /\ B e. On ) -> A C_ ( B +no A ) ) with typecode |-