by the same token

English

From token (“evidence, proof”) (obsolete sense)

by the same token

(idiomatic) For a similar reason; in a similar manner
Synonyms: similarly, likewise, along the lines
- 1886 June 25, Orton, Edward, “Petroleum and Natural Gas as Found in Ohio”, in Science, volume 7, number 177, JSTOR 1761654, pages 560-564:
  The petroleum and gas of eastern Ohio, and by the same token, of western Pennsylvania and New York are unquestionably derived from the great shale formation of Devonian and subcarboniforous age that underlies this territory, and they are stored in sandstones overlying or interstratified with these shales."

French: de même (fr), de la même manière, de la même façon, dans le même esprit, pour les mêmes raisons, dans le même ordre d'idées