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Theorem imp4b 347
Description: An importation inference. (Contributed by NM, 26-Apr-1994.)
Hypothesis
Ref Expression
imp4.1 (𝜑 → (𝜓 → (𝜒 → (𝜃𝜏))))
Assertion
Ref Expression
imp4b ((𝜑𝜓) → ((𝜒𝜃) → 𝜏))

Proof of Theorem imp4b
StepHypRef Expression
1 imp4.1 . . 3 (𝜑 → (𝜓 → (𝜒 → (𝜃𝜏))))
21imp4a 346 . 2 (𝜑 → (𝜓 → ((𝜒𝜃) → 𝜏)))
32imp 123 1 ((𝜑𝜓) → ((𝜒𝜃) → 𝜏))
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-ia1 105  ax-ia2 106  ax-ia3 107
This theorem depends on definitions:  df-bi 116
This theorem is referenced by:  imp43  352  ltmpig  7159  bndndx  8988
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