John 20:8

Then … that other Better, Therefore went in also the other. He is encouraged by his older companion. Note how all the details tell of the eye-witness: he remembers even that the napkin was folded. Contrast the want of detail in Luke 24:12.

and believed More difficulty has perhaps been made about this than is necessary. -Believed what?" is asked. That Jesus was risen. The whole context implies it; and comp. John 20:25. The careful arrangement of the grave-cloths proved that the body had not been taken away in haste as by a foe: and friends would scarcely have removed them at all. It is thoroughly natural that S. John speaks only of himself, saying nothing of S. Peter. He is full of the impression which the empty and orderly tomb made upon his own mind. S. Luke (Luke 24:12) speaks only of S. Peter's wonder, neither affirming nor denying his belief.