Since doctrine is the same as teachings, then yes Salvation rest on the teachings of Jesus and the Apostles and Prophets.
1 Timothy 4:2 - 8 (KJV) 1 Now the Spirit speaketh expressly, that in the latter times some shall depart from the faith, giving heed to seducing spirits, and doctrines of devils;
2 Speaking lies in hypocrisy; having their conscience seared with a hot iron;
3 Forbidding to marry, and commanding to abstain from meats, which God hath created to be received with thanksgiving of them which believe and know the truth.
4 For every creature of God is good, and nothing to be refused, if it be received with thanksgiving:
5 For it is sanctified by the word of God and prayer.
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If thou put the brethren in remembrance of these things, thou shalt be a good minister of Jesus Christ, nourished up in the words of faith and of good doctrine, whereunto thou hast attained.
7 But refuse profane and old wives’ fables, and exercise thyself rather unto godliness.
8 For bodily exercise profiteth little: but godliness is profitable unto all things, having promise of the life that now is, and of that which is to come.
2 Timothy 4:2 - 4 (KJV) 2 Preach the word; be instant in season, out of season; reprove, rebuke, exhort with all longsuffering and doctrine.
3 For the time will come when they will not endure sound doctrine; but after their own lusts shall they heap to themselves teachers, having itching ears;
4 And they shall turn away their ears from the truth, and shall be turned unto fables.