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Theorem ancri 322
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 304 1 (𝜑 → (𝜓𝜑))
Colors of variables: wff set class
Syntax hints:  wi 4  wa 103
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia3 107
This theorem is referenced by:  bamalip  2121  gencbvex  2735  mosubt  2864  trsuc  4351  eusv2nf  4384  mosubopt  4611  issref  4928  fo00  5410  eqfnov2  5885  hashfzp1  10601  dfgcd2  11736
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