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Theorem wl-impchain-mp-1 33608
Description: This theorem is in fact a copy of wl-syl 33583, and repeated here to demonstrate a recursive proof scheme. The number '1' in the theorem name indicates that a chain of length 1 is modified. (Contributed by Wolf Lammen, 6-Jul-2019.) (New usage is discouraged.) (Proof modification is discouraged.)
Ref Expression
wl-impchain-mp-1.a (𝜒𝜓)
wl-impchain-mp-1.b (𝜓𝜑)
Ref Expression
wl-impchain-mp-1 (𝜒𝜑)

Proof of Theorem wl-impchain-mp-1
StepHypRef Expression
1 wl-impchain-mp-1.a . 2 (𝜒𝜓)
2 wl-impchain-mp-1.b . . 3 (𝜓𝜑)
32wl-imim2i 33590 . 2 ((𝜒𝜓) → (𝜒𝜑))
41, 3wl-impchain-mp-0 33607 1 (𝜒𝜑)
Colors of variables: wff setvar class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-mp 5  ax-luk1 33578  ax-luk2 33579  ax-luk3 33580
This theorem is referenced by:  wl-impchain-mp-2  33609  wl-impchain-com-1.3  33613
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