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Theorem jctir 300
Description: Inference conjoining a theorem to right of consequent in an implication. (Contributed by NM, 31-Dec-1993.)
Hypotheses
Ref Expression
jctil.1 (𝜑𝜓)
jctil.2 𝜒
Assertion
Ref Expression
jctir (𝜑 → (𝜓𝜒))

Proof of Theorem jctir
StepHypRef Expression
1 jctil.1 . 2 (𝜑𝜓)
2 jctil.2 . . 3 𝜒
32a1i 9 . 2 (𝜑𝜒)
41, 3jca 294 1 (𝜑 → (𝜓𝜒))
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:  jctr  302  equvini  1657  funtp  4979  foimacnv  5171  respreima  5322  fpr  5372  dmtpos  5901  ssdomg  6288  archnqq  6572  recexgt0sr  6915  ige2m2fzo  9155  climeu  10047  algcvgblem  10250
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