What is the usage of the infinitive progressive form to be doing, more detailed, thank you!

After verbs such as seem, appear, happen, think, consider, believe, say, report, etc., the infinitive progressive form to be doing is sometimes used to indicate that the action or state indicated by the infinitive is also ongoing or ongoing at the same time as the action of these verbs occurs

i happened to be cooking when the telephone rang.When the ** bell rang, I happened to be cooking.

the boy pretended to be sleeping when his mother came in.When his mother came in, the child pretended to be sleeping.

1. Indicate the same time.

Indicates an action that occurs at the same time as the predicate action and is in progress. Such as:

he seems to be saying something.He seems to be saying something.

he is thought to be hiding in the woods.It is believed that he was hiding in the woods.

it’s nice to be sitting here with you.It's nice to sit here with you.

why’s she so late?—she can’t still be working.Why didn't she come so late? - She can't still be working.

Second, it means the future.

Just as the continuous tense can be used to indicate the future meaning, the infinitive progressive can sometimes also mean the future. Such as:

the old man seems to be dying.The old man seemed to be dying.

After the verbs such as seem, appear, happen, think, consider, believe, say, report, etc., the infinitive progressive form to be doing is sometimes used to indicate that the action or state indicated by the infinitive is also ongoing or ongoing at the same time as the action of these bridge verbs occurs

i happened to be cooking when the telephone rang.When the ** bell rang, I happened to be cooking.

the boy pretended to be sleeping when his mother came in.When his mother came in, the boy pretended to be sleeping.

Regarding the infinitive of English verbs, the passive form can be divided into the general and perfect tenses.

Normal: to

bedone, which indicates that the infinitive action occurs after the predicate verb or when it is the same. Such as: itisa

greathonourtobe

invited

tospeak

here.I don't know about this, what is the predicate verb referred to here? Please answer in detail. Thank you.

Answer: This is a sentence with a primary table structure. Infinitive phrase tobeinvited

tospeak

Here is the subject of the sentence in the center of the sentence (the real subject, it is just a formal subject) and the predicate of the sentence is is

It is a great honor to be invited to speak here, and this thing (to speak to me) is a very honorable thing.

Here's what the other party said before the invitation was sent or will be issued.

First, Tong Bi slowly said at the same time.

Indicates an action that occurs at the same time as the predicate action and is in progress. Such as:

he seems to be saying something.He seems to be saying something.

he is thought to be hiding in the woods.It is believed that he was hiding in the woods.

it’s nice to be sitting here with you.It's nice to sit here with you.

why’s she so late?—she can’t still be working.Why didn't she come so late? - She can't still be working.

Second, it means the future.

Just as the progressive tense can be used to indicate the future meaning, the progressive form of the local mode infinitive can sometimes mean the future. Such as:

the old man seems to be dying.The old man seemed to be dying.