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Theorem ancri 317
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 300 1 (𝜑 → (𝜓𝜑))
Colors of variables: wff set class
Syntax hints:  wi 4  wa 102
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia3 106
This theorem is referenced by:  bamalip  2069  gencbvex  2665  mosubt  2792  trsuc  4249  eusv2nf  4278  mosubopt  4503  issref  4814  fo00  5289  eqfnov2  5752  hashfzp1  10228  dfgcd2  11277
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