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Theorem jctr 302
Description: Inference conjoining a theorem to the right of a consequent. (Contributed by NM, 18-Aug-1993.) (Proof shortened by Wolf Lammen, 24-Oct-2012.)
Hypothesis
Ref Expression
jctl.1 𝜓
Assertion
Ref Expression
jctr (𝜑 → (𝜑𝜓))

Proof of Theorem jctr
StepHypRef Expression
1 id 19 . 2 (𝜑𝜑)
2 jctl.1 . 2 𝜓
31, 2jctir 300 1 (𝜑 → (𝜑𝜓))
Colors of variables: wff set class
Syntax hints:  wi 4  wa 101
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia3 105
This theorem is referenced by:  mpanl2  419  mpanr2  422  bm1.1  2041  undifss  3331  brprcneu  5199  mpt2eq12  5593  tfri3  5984  ige2m2fzo  9156
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