Scholar dont mention an invasion of Israel but an invasion of Palestine That can neutralize this in writing that they intervened in Palestine or sent expeditionnary forces to Palestine The reasons are that their intentions were different for each of them When we looked at the events it can be understood   Arab Legion the stronger didnt enter at any stage of the war in territories allocated to Israel but were attacked by Israeli on terriroties allocated to the Arab states  his will was to take control of these territories but not attacking Israelis  Iraki tried to enter Israel but failed and after  days went back and never again tried to attack Israel  Syria took an area of  x  km but never went further technically they invaded a small part of Israel  Lebanon didnt intervene at all whereas it declared war through the Arab League  Egypt first attacked kibboutzim that were in the territories that were allocated to the Arab states and never really succeeded in invading Israel whereas they technically did so at some places and that they blockaded Negev settlements But in any cases scholars refer to the invasion of Palestine