Theorem simplld 528

Description: Deduction form of simpll 527, eliminating a double conjunct. (Contributed by Glauco Siliprandi, 11-Dec-2019.)

Hypothesis

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

Assertion

Ref	Expression
simplld	|- ( ph -> ps )

Proof of Theorem simplld

Step	Hyp	Ref	Expression
1		simplld.1	. . 3 |- ( ph -> ( ( ps /\ ch ) /\ th ) )
2	1	simpld 112	. 2 |- ( ph -> ( ps /\ ch ) )
3	2	simpld 112	1 |- ( ph -> ps )

Syntax hints:   -> wi 4   /\ wa 104

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106

This theorem is referenced by:  subupgr  16123