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Theorem wl-impchain-mp-2 33590
Description: This theorem is in fact a copy of wl-syl6 33572, and repeated here to demonstrate a recursive proof scheme. The number '2' in the theorem name indicates that a chain of length 2 is modified. (Contributed by Wolf Lammen, 6-Jul-2019.) (New usage is discouraged.) (Proof modification is discouraged.)
Hypotheses
Ref Expression
wl-impchain-mp-2.a (𝜃 → (𝜒𝜓))
wl-impchain-mp-2.b (𝜓𝜑)
Assertion
Ref Expression
wl-impchain-mp-2 (𝜃 → (𝜒𝜑))

Proof of Theorem wl-impchain-mp-2
StepHypRef Expression
1 wl-impchain-mp-2.a . 2 (𝜃 → (𝜒𝜓))
2 wl-impchain-mp-2.b . . 3 (𝜓𝜑)
32wl-imim2i 33571 . 2 ((𝜒𝜓) → (𝜒𝜑))
41, 3wl-impchain-mp-1 33589 1 (𝜃 → (𝜒𝜑))
Colors of variables: wff setvar class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-mp 5  ax-luk1 33559  ax-luk2 33560  ax-luk3 33561
This theorem is referenced by:  wl-impchain-com-1.4  33595
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