English grammars have been aritten by a host of native and non-native speakers, and there is variation in terminology. I am used to applying different terms from yours to the verbs in your sentences. Anonymous 1.
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Anonymous1. "do you mind if I smoke?" well, I'd rather you didn't. (past subjunctive)I call the verb form after would rather a preterite / preterit, not a
Cool BreezePresent subjunctive? Where? Which word? My analysis:
Do = present tense, indicative
mind = plain/bare infinitive (= infinitive without to)
smoke = present tense, indicative
would (I'd) = defective / modal auxiliary