Metamath Proof Explorer


Theorem wl-impchain-com-2.4

Description: This theorem is in fact a copy of com24 . It is another instantiation of theorems named after wl-impchain-com-n.m . For more information see there. (Contributed by Wolf Lammen, 17-Nov-2019) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypothesis wl-impchain-com-2.4.h1 ( 𝜂 → ( 𝜃 → ( 𝜒 → ( 𝜓𝜑 ) ) ) )
Assertion wl-impchain-com-2.4 ( 𝜂 → ( 𝜓 → ( 𝜒 → ( 𝜃𝜑 ) ) ) )

Proof

Step Hyp Ref Expression
1 wl-impchain-com-2.4.h1 ( 𝜂 → ( 𝜃 → ( 𝜒 → ( 𝜓𝜑 ) ) ) )
2 1 wl-impchain-com-1.2 ( 𝜃 → ( 𝜂 → ( 𝜒 → ( 𝜓𝜑 ) ) ) )
3 2 wl-impchain-com-1.4 ( 𝜓 → ( 𝜂 → ( 𝜒 → ( 𝜃𝜑 ) ) ) )
4 3 wl-impchain-com-1.2 ( 𝜂 → ( 𝜓 → ( 𝜒 → ( 𝜃𝜑 ) ) ) )