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Theorem eel021old 41842
Description: el021old 41843 without virtual deductions. (Contributed by Alan Sare, 13-Jun-2015.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
eel021.1 𝜑
eel021.2 ((𝜓𝜒) → 𝜃)
eel021.3 ((𝜑𝜃) → 𝜏)
Assertion
Ref Expression
eel021old ((𝜓𝜒) → 𝜏)

Proof of Theorem eel021old
StepHypRef Expression
1 eel021.1 . 2 𝜑
2 eel021.2 . 2 ((𝜓𝜒) → 𝜃)
3 eel021.3 . 2 ((𝜑𝜃) → 𝜏)
41, 2, 3sylancr 590 1 ((𝜓𝜒) → 𝜏)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 399
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 210  df-an 400
This theorem is referenced by:  sspwimpcf  42062  suctrALTcf  42064
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