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Theorem anc2ri 313
Description: Deduction conjoining antecedent to right of consequent in nested implication. (Contributed by NM, 15-Aug-1994.) (Proof shortened by Wolf Lammen, 7-Dec-2012.)
Hypothesis
Ref Expression
anc2ri.1 (φ → (ψχ))
Assertion
Ref Expression
anc2ri (φ → (ψ → (χ φ)))

Proof of Theorem anc2ri
StepHypRef Expression
1 anc2ri.1 . 2 (φ → (ψχ))
2 id 19 . 2 (φφ)
31, 2jctird 300 1 (φ → (ψ → (χ 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:  equvini  1638  fv3  5140
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