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Theorem syldbl2 37947
Description: Stacked hypotheseis implies goal. (Contributed by Stanislas Polu, 9-Mar-2020.)
Hypothesis
Ref Expression
syldbl2.1 ((𝜑𝜓) → (𝜓𝜃))
Assertion
Ref Expression
syldbl2 ((𝜑𝜓) → 𝜃)

Proof of Theorem syldbl2
StepHypRef Expression
1 syldbl2.1 . . 3 ((𝜑𝜓) → (𝜓𝜃))
21com12 32 . 2 (𝜓 → ((𝜑𝜓) → 𝜃))
32anabsi7 859 1 ((𝜑𝜓) → 𝜃)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 384
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 386
This theorem is referenced by: (None)
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