Theorem wl-impchain-com-2.3 37458

Description: This theorem is in fact a copy of com23 86. It starts a series of theorems named after wl-impchain-com-n.m 37457. For more information see there. (Contributed by Wolf Lammen, 12-Nov-2019.) (New usage is discouraged.) (Proof modification is discouraged.)

Hypothesis

Ref	Expression
wl-impchain-com-2.3.h1	⊢ (𝜃 → (𝜒 → (𝜓 → 𝜑)))

Assertion

Ref	Expression
wl-impchain-com-2.3	⊢ (𝜃 → (𝜓 → (𝜒 → 𝜑)))

Proof of Theorem wl-impchain-com-2.3

Step	Hyp	Ref	Expression
1		wl-impchain-com-2.3.h1	. . . 4 ⊢ (𝜃 → (𝜒 → (𝜓 → 𝜑)))
2	1	wl-impchain-com-1.2 37454	. . 3 ⊢ (𝜒 → (𝜃 → (𝜓 → 𝜑)))
3	2	wl-impchain-com-1.3 37455	. 2 ⊢ (𝜓 → (𝜃 → (𝜒 → 𝜑)))
4	3	wl-impchain-com-1.2 37454	1 ⊢ (𝜃 → (𝜓 → (𝜒 → 𝜑)))

Syntax hints:   → wi 4

This theorem was proved from axioms:  ax-mp 5  ax-luk1 37420  ax-luk2 37421  ax-luk3 37422

This theorem is referenced by:  wl-impchain-com-3.2.1  37460  wl-impchain-a1-3  37464