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Theorem ancri 535
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 518 1 (φ → (ψ φ))
Colors of variables: wff setvar class
Syntax hints:  wi 4   wa 358
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 177  df-an 360
This theorem is referenced by:  truan  1331  bamalip  2324  gencbvex  2901  funmo  5125  fo00  5318  eqfnov2  5590  caovmo  5645
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