go smoothly 順調{じゅんちょう}に進む、思うように運ぶ、うまくいくWe are pleased to tell you that the opening ceremony went very smoothly. 開会式が順調に[滞りなく?つつがなく]進行したことをご報告致します。
例文
in these days , the great buddha hall construction work began to proceed smoothly with full financial support from the eastern provinces led by takatsuna . このころから高綱を中心に勧進への東国の支援の態勢も整い、大仏殿の工事はすすんでいった。
this is because , by doing so , succession of the throne by a male on the male side can be maintained , even when the female member of the imperial family gave birth to a son and he became the emperor , and restoration of former miyake (house of an imperial prince ) is thought to proceed smoothly without opposition of the public . こうすることで、女性皇族が男子を産み、その子が天皇になったとしても、男系男子による皇位継承を維持できるし、旧宮家復活も国民の抵抗なく円滑に進むと考えられるからである。