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Theorem anc2li 327
Description: Deduction conjoining antecedent to left of consequent in nested implication. (Contributed by NM, 10-Aug-1994.) (Proof shortened by Wolf Lammen, 7-Dec-2012.)
Hypothesis
Ref Expression
anc2li.1  |-  ( ph  ->  ( ps  ->  ch ) )
Assertion
Ref Expression
anc2li  |-  ( ph  ->  ( ps  ->  ( ph  /\  ch ) ) )

Proof of Theorem anc2li
StepHypRef Expression
1 anc2li.1 . 2  |-  ( ph  ->  ( ps  ->  ch ) )
2 id 19 . 2  |-  ( ph  ->  ph )
31, 2jctild 314 1  |-  ( ph  ->  ( ps  ->  ( ph  /\  ch ) ) )
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:  imdistani  441  equvini  1716  sssnm  3651  tfis  4467  indpi  7118
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