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Theorem com24 86
Description: Commutation of antecedents. Swap 2nd and 4th. (Contributed by NM, 25-Apr-1994.) (Proof shortened by Wolf Lammen, 28-Jul-2012.)
Hypothesis
Ref Expression
com4.1 (𝜑 → (𝜓 → (𝜒 → (𝜃𝜏))))
Assertion
Ref Expression
com24 (𝜑 → (𝜃 → (𝜒 → (𝜓𝜏))))

Proof of Theorem com24
StepHypRef Expression
1 com4.1 . . 3 (𝜑 → (𝜓 → (𝜒 → (𝜃𝜏))))
21com4t 84 . 2 (𝜒 → (𝜃 → (𝜑 → (𝜓𝜏))))
32com13 79 1 (𝜑 → (𝜃 → (𝜒 → (𝜓𝜏))))
Colors of variables: wff set class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7
This theorem is referenced by:  com25  90  tfrlem9  5989  nnmordi  6177  fundmen  6375  elfzodifsumelfzo  9357  ssfzo12  9380
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