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Theorem imim2d 48
Description: Deduction adding nested antecedents. (Contributed by NM, 5-Aug-1993.)
Hypothesis
Ref Expression
imim2d.1 (φ → (ψχ))
Assertion
Ref Expression
imim2d (φ → ((θψ) → (θχ)))

Proof of Theorem imim2d
StepHypRef Expression
1 imim2d.1 . . 3 (φ → (ψχ))
21a1d 22 . 2 (φ → (θ → (ψχ)))
32a2d 23 1 (φ → ((θψ) → (θχ)))
Colors of variables: wff set class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7
This theorem is referenced by:  imim2  49  embantd  50  imim12d  68  anc2r  311  pm5.31  330  con4biddc  753  jaddc  760  hbimd  1462  19.21ht  1470  nfimd  1474  19.23t  1564  spimth  1620  ssuni  3593  nnmordi  6025  bj-rspgt  9260
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