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Theorem com24 87
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 85 . 2 (𝜒 → (𝜃 → (𝜑 → (𝜓𝜏))))
32com13 80 1 (𝜑 → (𝜃 → (𝜒 → (𝜓𝜏))))
Colors of variables: wff set class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
This theorem is referenced by:  com25  91  tfrlem9  6182  nnmordi  6378  fundmen  6666  fiintim  6783  elfzodifsumelfzo  9929  ssfzo12  9952  cnpnei  12294
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