let H be ZF-formula; :: thesis: for x, y being Variable
for M being non empty set holds
( M |= H iff M |= All x,y,H )
let x, y be Variable; :: thesis: for M being non empty set holds
( M |= H iff M |= All x,y,H )
let M be non empty set ; :: thesis: ( M |= H iff M |= All x,y,H )
( ( M |= H implies M |= All y,H ) & ( M |= All y,H implies M |= H ) & ( M |= All y,H implies M |= All x,y,H ) & ( M |= All x,y,H implies M |= All y,H ) ) by ZF_MODEL:25;
hence ( M |= H iff M |= All x,y,H ) ; :: thesis: verum