Metamath Proof Explorer


Theorem wl-impchain-com-2.3

Description: This theorem is in fact a copy of com23 . It starts a series of theorems named after wl-impchain-com-n.m . For more information see there. (Contributed by Wolf Lammen, 12-Nov-2019) (New usage is discouraged.) (Proof modification is discouraged.)

Ref Expression
Hypothesis wl-impchain-com-2.3.h1 ( 𝜃 → ( 𝜒 → ( 𝜓𝜑 ) ) )
Assertion wl-impchain-com-2.3 ( 𝜃 → ( 𝜓 → ( 𝜒𝜑 ) ) )

Proof

Step Hyp Ref Expression
1 wl-impchain-com-2.3.h1 ( 𝜃 → ( 𝜒 → ( 𝜓𝜑 ) ) )
2 1 wl-impchain-com-1.2 ( 𝜒 → ( 𝜃 → ( 𝜓𝜑 ) ) )
3 2 wl-impchain-com-1.3 ( 𝜓 → ( 𝜃 → ( 𝜒𝜑 ) ) )
4 3 wl-impchain-com-1.2 ( 𝜃 → ( 𝜓 → ( 𝜒𝜑 ) ) )