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 → ψ → φ
Assertion wl-impchain-com-2.3 ⊢ θ → ψ → χ → φ

Proof

Step Hyp Ref Expression
1 wl-impchain-com-2.3.h1 ⊢ θ → χ → ψ → φ
2 1 wl-impchain-com-1.2 ⊢ χ → θ → ψ → φ
3 2 wl-impchain-com-1.3 ⊢ ψ → θ → χ → φ
4 3 wl-impchain-com-1.2 ⊢ θ → ψ → χ → φ