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Theorem ancri 307
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 → (ψ φ))

Proof of Theorem ancri
StepHypRef Expression
1 ancri.1 . 2 (φψ)
2 id 19 . 2 (φφ)
31, 2jca 290 1 (φ → (ψ φ))
Colors of variables: wff set class
Syntax hints:  wi 4   wa 97
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia3 101
This theorem is referenced by:  truanOLD  1260  bamalip  2018  gencbvex  2594  mosubt  2712  trsuc  4125  eusv2nf  4154  mosubopt  4348  issref  4650  fo00  5105  eqfnov2  5550
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