Definition of 履む
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(v5m, vt) to step on; to tread on
その男は私の足を踏んだのにわびることさえしなかった。
The man did not so much as apologize for stepping on my foot. - to experience; to undergo
- to estimate; to value; to appraise
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to rhyme
私はもっと敵の抵抗があると踏んでたんだけど、むしろ中枢に進むほど敵が減ってきてる・・・。おかしいと思わないかしら?
I had expected stronger resistance from the enemy but if anything there are less of them as we advance to the centre... Don't you think that's strange? - to inherit (the throne, etc.)
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to follow (rules, morals, principles, etc.)
何をするにも順序を踏んでやりなさい。
No matter what you do, you must follow the correct order.