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Theorem ancri 324
Description: Deduction conjoining antecedent to right of consequent. (Contributed by NM, 15-Aug-1994.)
Hypothesis
Ref Expression
ancri.1 (𝜑𝜓)
Assertion
Ref Expression
ancri (𝜑 → (𝜓𝜑))

Proof of Theorem ancri
StepHypRef Expression
1 ancri.1 . 2 (𝜑𝜓)
2 id 19 . 2 (𝜑𝜑)
31, 2jca 306 1 (𝜑 → (𝜓𝜑))
Colors of variables: wff set class
Syntax hints:  wi 4  wa 104
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia3 108
This theorem is referenced by:  bamalip  2159  gencbvex  2798  mosubt  2929  trsuc  4440  eusv2nf  4474  mosubopt  4709  issref  5029  fo00  5516  eqfnov2  6005  hashfzp1  10839  dfgcd2  12050
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