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Theorem jccir 525
Description: Inference conjoining a consequent of a consequent to the right of the consequent in an implication. See also ex-natded5.3i 28203. (Contributed by Mario Carneiro, 9-Feb-2017.) (Revised by AV, 20-Aug-2019.)
Hypotheses
Ref Expression
jccir.1 (𝜑𝜓)
jccir.2 (𝜓𝜒)
Assertion
Ref Expression
jccir (𝜑 → (𝜓𝜒))

Proof of Theorem jccir
StepHypRef Expression
1 jccir.1 . 2 (𝜑𝜓)
2 jccir.2 . . 3 (𝜓𝜒)
31, 2syl 17 . 2 (𝜑𝜒)
41, 3jca 515 1 (𝜑 → (𝜓𝜒))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 399
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 210  df-an 400
This theorem is referenced by:  jccil  526  oelim2  8219  maxprmfct  16053  chpmat1dlem  21449  chpdmatlem2  21453  leordtvallem1  21824  leordtvallem2  21825  mbfmax  24262  wlklnwwlkln2lem  27677  0wlkonlem1  27912  2cycl2d  32471  relowlpssretop  34753  ntrclsk13  40721  smonoord  43841
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