Theorem pm3.48ALT

Description: Alternate proof of pm3.48 . (Contributed by Hongxiu Chen, 29-Jun-2025) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Assertion	pm3.48ALT	|- ( ( ( ph -> ps ) /\ ( ch -> th ) ) -> ( ( ph \/ ch ) -> ( ps \/ th ) ) )

Proof

Step	Hyp	Ref	Expression
1		simpl	|- ( ( ( ph -> ps ) /\ ( ch -> th ) ) -> ( ph -> ps ) )
2		simpr	|- ( ( ( ph -> ps ) /\ ( ch -> th ) ) -> ( ch -> th ) )
3	1 2	orim12d	|- ( ( ( ph -> ps ) /\ ( ch -> th ) ) -> ( ( ph \/ ch ) -> ( ps \/ th ) ) )