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Theorem orim1i 539
Description: Introduce disjunct to both sides of an implication. (Contributed by NM, 6-Jun-1994.)
Hypothesis
Ref Expression
orim1i.1 (𝜑𝜓)
Assertion
Ref Expression
orim1i ((𝜑𝜒) → (𝜓𝜒))

Proof of Theorem orim1i
StepHypRef Expression
1 orim1i.1 . 2 (𝜑𝜓)
2 id 22 . 2 (𝜒𝜒)
31, 2orim12i 538 1 ((𝜑𝜒) → (𝜓𝜒))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wo 383
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 197  df-or 385
This theorem is referenced by:  nfntOLDOLD  1780  19.34  1898  r19.45v  3089  nnm1nn0  11294  elfzo0l  12515  xrge0iifhom  29807  bj-andnotim  32268  orfa2  33558  expdioph  37109  ifpimim  37374
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