Theorem simprrd 532

Description: Deduction form of simprr 531, eliminating a double conjunct. (Contributed by Glauco Siliprandi, 11-Dec-2019.)

Hypothesis

Ref	Expression
simprrd.1	|- ( ph -> ( ps /\ ( ch /\ th ) ) )

Assertion

Ref	Expression
simprrd	|- ( ph -> th )

Proof of Theorem simprrd

Step	Hyp	Ref	Expression
1		simprrd.1	. . 3 |- ( ph -> ( ps /\ ( ch /\ th ) ) )
2	1	simprd 114	. 2 |- ( ph -> ( ch /\ th ) )
3	2	simprd 114	1 |- ( ph -> th )

Syntax hints:   -> wi 4   /\ wa 104

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia2 107

This theorem is referenced by:  srgrz  13540  lmodvs1  13872