1: φυσιόω
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(Strong's #5448 — Verb — phusioo — foo-see-o'-o )

"to puff up, blow up, inflate" (from phusa, "bellows"), is used metaphorically in the NT, in the sense of being "puffed" up with pride, 1—Corinthians 4:6,18,19; 5:2; 8:1; 13:4; Colossians 2:18 .

2: τυφόομαι
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(Strong's #5187 — Verb — tuphoo — toof-o'-o )

is always rendered "to puff up" in the RV. See HIGH-MINDED , PROUD.