Where does “subtileza” come from?

subtileza (Portuguese) comes from Portuguese subtil, from Portuguese sutil, from Old Occitan sotil, from Latin subtīlis, from Latin tēla, from Old Dutch tegela, from Proto-Germanic *tigulā, from Proto-Germanic tigulǭ — to cover; pole, stick, beam.

Ancestry of “subtileza”, step by step

StepLanguageWordMeaning
1PortuguesesubtilAlternative form of sutil
2Portuguesesutilsubtle; subtle; cunning, skillful
3Old Occitansotil
4Latinsubtīlisfine, thin, slender
5Latintēlaweb
6Old Dutchtegela
7Proto-Germanic*tigulā
8Proto-Germanictigulǭtile; brick
9Latintēgulaa large, flat and heavy roof tile used in an overlapping formation with the curved and smaller imbrex
10Latintegōto cover; to clothe
11Proto-Italictegōcover
12Proto-Indo-European(s)teg-to cover; pole, stick, beam
Every word from Proto-Indo-European (s)teg-Every word from Proto-Italic tegōEvery word from Latin tegō