"When the Saviour finally appeared “in the likeness of men” ( Philippians 2:7 ), and began His ministry of grace, Satan could but bruise the heel, while by every act of humiliation or suffering Christ was bruising the head of His adversary. The anguish that sin has brought was poured into the bosom of the Sinless; yet while Christ endured the contradiction of sinners against Himself, He was paying the debt for sinful man and breaking the bondage in which humanity had been held. Every pang of anguish, every insult, was working out the deliverance of the race. PK 701.1"
"But made himself of no reputation, and took upon him the form of a servant, and was made in the likeness of men:"
Ellen White directly references Philippians 2:7 in this passage.
"Could Satan have induced Christ to yield to a single temptation, could he have led Him by one act or even thought to stain His perfect purity, the prince of darkness would have triumphed over man's Surety and would have gained the whole human family to himself. But while Satan could distress, he could not contaminate. He could cause agony, but not defilement. He made the life of Christ one long scene of conflict and trial, yet with every attack he was losing his hold upon humanity. PK 701.2"
"For we have not an high priest which cannot be touched with the feeling of our infirmities; but was in all points tempted like as we are, yet without sin."
Both passages discuss Christ's temptation and sinlessness. Hebrews 4:15 states that Christ was tempted in all points like us, yet without sin. EGW elaborates on this by stating that Satan could distress Christ but not contaminate Him, emphasizing His perfect purity.
"In the wilderness of temptation, in the Garden of Gethsemane, and on the cross, our Saviour measured weapons with the prince of darkness. His wounds became the trophies of His victory in behalf of the race. When Christ hung in agony upon the cross, while evil spirits rejoiced and evil men reviled, then indeed His heel was bruised by Satan. But that very act was crushing the serpent's head. Through death He destroyed “him that had the power of death, that is, the devil.” Hebrews 2:14 . This act decided the destiny of the rebel chief, and made forever sure the plan of salvation. In death He gained the victory over its power; in rising again, He opened the gates of the grave to all His followers. In that last great contest we see fulfilled the prophecy, “It shall bruise thy head, and thou shall bruise His heel.” Genesis 3:15 . PK 701.3"
"Forasmuch then as the children are partakers of flesh and blood, he also himself likewise took part of the same; that through death he might destroy him that had the power of death, that is, the devil;"
The EGW passage directly quotes Hebrews 2:14, connecting Christ's death to the destruction of the devil.
"And I will put enmity between thee and the woman, and between thy seed and her seed; it shall bruise thy head, and thou shalt bruise his heel."
The EGW passage directly alludes to Genesis 3:15, interpreting Christ's suffering and death on the cross as the fulfillment of the prophecy about bruising the serpent's head.
"But thanks be to God, which giveth us the victory through our Lord Jesus Christ."
The EGW passage speaks of Christ's victory over Satan through the cross, referencing Genesis 3:15 and Hebrews 2:14. While 1 Corinthians 15:57 speaks of victory through Christ, it's a general statement that aligns thematically with the specific victory described by EGW. The confidence is increased due to the direct connection to the victory over death and Satan.