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Theorem nic-isw1 1752
Description: Inference version of nic-swap 1751. (Contributed by Jeff Hoffman, 17-Nov-2007.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypothesis
Ref Expression
nic-isw1.1 (𝜃𝜑)
Assertion
Ref Expression
nic-isw1 (𝜑𝜃)

Proof of Theorem nic-isw1
StepHypRef Expression
1 nic-isw1.1 . 2 (𝜃𝜑)
2 nic-swap 1751 . 2 ((𝜃𝜑) ⊼ ((𝜑𝜃) ⊼ (𝜑𝜃)))
31, 2nic-mp 1743 1 (𝜑𝜃)
Colors of variables: wff setvar class
Syntax hints:  wnan 1594
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-an 383  df-nan 1595
This theorem is referenced by:  nic-isw2  1753  nic-iimp1  1754  nic-iimp2  1755  nic-idel  1756  nic-ich  1757  nic-luk2  1764
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