Theorem sltnegim

Description: The forward direction of the ordering properties of negation. (Contributed by Scott Fenton, 3-Feb-2025)

	Ref	Expression
Assertion	sltnegim	Could not format assertion : No typesetting found for |- ( ( A e. No /\ B e. No ) -> ( A ( -us ` B )

Proof

Step	Hyp	Ref	Expression
1		negsprop	Could not format ( ( A e. No /\ B e. No ) -> ( ( -us ` A ) e. No /\ ( A ( -us ` B ) ( ( -us ` A ) e. No /\ ( A ( -us ` B )
2	1	simprd	Could not format ( ( A e. No /\ B e. No ) -> ( A ( -us ` B ) ( A ( -us ` B )