Theorem wl-impchain-com-2.4 38163

Description: This theorem is in fact a copy of com24 96. It is another instantiation of theorems named after wl-impchain-com-n.m 38161. For more information see there. (Contributed by Wolf Lammen, 17-Nov-2019.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypothesis

Ref	Expression
wl-impchain-com-2.4.h1	⊢ (𝜂 → (𝜃 → (𝜒 → (𝜓 → 𝜑))))

Assertion

Ref	Expression
wl-impchain-com-2.4	⊢ (𝜂 → (𝜓 → (𝜒 → (𝜃 → 𝜑))))

Proof of Theorem wl-impchain-com-2.4

Step	Hyp	Ref	Expression
1		wl-impchain-com-2.4.h1	. . . 4 ⊢ (𝜂 → (𝜃 → (𝜒 → (𝜓 → 𝜑))))
2	1	wl-impchain-com-1.2 38158	. . 3 ⊢ (𝜃 → (𝜂 → (𝜒 → (𝜓 → 𝜑))))
3	2	wl-impchain-com-1.4 38160	. 2 ⊢ (𝜓 → (𝜂 → (𝜒 → (𝜃 → 𝜑))))
4	3	wl-impchain-com-1.2 38158	1 ⊢ (𝜂 → (𝜓 → (𝜒 → (𝜃 → 𝜑))))

This proof depends on syntax axioms:   → wi 4

This proof depends on axioms:  ax-mp 5  ax-luk1 38124  ax-luk2 38125  ax-luk3 38126

This theorem is used by: (None)