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Henry VI was the only legitimate male in his generation (in male line), although his uncles had had children. Take a look:
Henry IV
Henry V
Henry VI
Edward of Westminster
Thomas, duke of Clarence
[illegitimate] John, bastard of Clarence (c.1409 +20.3.1431)
John, duke of Bedford
A Stillborn Child (November 1423)
[illegitimate] Richard, bastard of Bedford (*1415, +?)
[illegitimate] Mary, bastard of Bedford (*1420, +c.1462) m. Pierre de Montferrand (+1454)
Humphrey, duke of Gloucester
A Son (1424)
[illegitimate/2m.?] Antigone (*1425, +c.1461)
[illegitimate/2m.?] Arthur (*1426, +1447)
Now, what if any, or even if all, those children had been born alive or a different set of wives had been taken instead? How would this affect England's future both foreign and domestic?