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Theorem wl-jarli 32251
Description: Dropping a nested consequent. This theorem is one of two reversions of ja 171. Since ja 171 is reversible, one can conclude, that a nested (chain of) implication(s) is just a packed notation of two or more theorems/ hypotheses with a common consequent. axc5c7 32997 is an instance of this idea. (Contributed by Wolf Lammen, 4-Oct-2013.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
wl-jarli.1 ((𝜑𝜓) → 𝜒)
Assertion
Ref Expression
wl-jarli 𝜑𝜒)

Proof of Theorem wl-jarli
StepHypRef Expression
1 pm2.21 118 . 2 𝜑 → (𝜑𝜓))
2 wl-jarli.1 . 2 ((𝜑𝜓) → 𝜒)
31, 2syl 17 1 𝜑𝜒)
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem is referenced by: (None)
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