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Theorem expdimp 246
Description: A deduction version of exportation, followed by importation. (Contributed by NM, 6-Sep-2008.)
Hypothesis
Ref Expression
exp3a.1  |-  ( ph  ->  ( ( ps  /\  ch )  ->  th )
)
Assertion
Ref Expression
expdimp  |-  ( (
ph  /\  ps )  ->  ( ch  ->  th )
)

Proof of Theorem expdimp
StepHypRef Expression
1 exp3a.1 . . 3  |-  ( ph  ->  ( ( ps  /\  ch )  ->  th )
)
21expd 245 . 2  |-  ( ph  ->  ( ps  ->  ( ch  ->  th ) ) )
32imp 115 1  |-  ( (
ph  /\  ps )  ->  ( ch  ->  th )
)
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-ia1 99  ax-ia2 100  ax-ia3 101
This theorem is referenced by:  rexlimdvv  2439  reu6  2730  fun11iun  5147  poxp  5853  smoel  5915  iinerm  6178  prarloclemlo  6592  peano5uzti  8346  lbzbi  8551  ssfzo12bi  9081  cau3lem  9710  nn0seqcvgd  9880
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