constant

Hebrews 13:7-10

The key words and ideas are: leaders, imitate, same, teachings, ceremonies. The author is now speaking of different teachings. The audience is reminded of their spiritual leaders and their teachings. This is contrasted with the strange teachings about ceremonies and rituals. The author reminds the audience that the heavenly altar is superior to the earthly one.
It is interesting that the author tells the audience to consider the outcome of the faith of the leaders since most of the leaders, which I'm taking to mean disciples/apostles, were martyred. However, in the context of Hebrews 11, their deaths were glorious because they were looking forward to the fulfillment of their faith. Therefore, it is no problem for the author to exhort the audience to imitate their faith. The hope of their faith is that they were received into heaven. Since Jesus is the same today as he always was and will be, the audience can be assured of the same reward if they remain faithful.
The author contrasts grace and the eating of ceremonial foods. Eating ceremonial foods would be part of the law. So the contrast is between grace and the law. The author's point is that grace strengthens our hearts, not the law.
This morning I am enjoying the reminder of Christ's constancy. He never changes. I can trust him to treat me with the same grace, fairness and compassion that he treated his disciples with. I can trust him to give me the same reward for faithfulness that he gave to the martyrs. He is the same yesterday, today and forever.