A conjunction meaning 'that is', 'namely', or 'i.e.' used to rephrase or clarify what was just said.
彼は運転免許を持っていない、すなわち自動車を運転できない。
He doesn't have a driver's license, that is, he cannot drive a car.
食材は全て有機です。すなわち添加物は使っていません。
All ingredients are organic; in other words, no additives are used.
彼女は契約を拒否した。すなわち今回の件は白紙になる可能性がある。
She refused the contract; that is, this matter might be nulled out.
Used to emphasize that something is precisely or exactly so; indicates an exact or precise equivalence.
彼の説明は簡潔ですなわち問題の核心を突いている。
His explanation is concise; in other words, it hits the heart of the problem exactly.
それはすなわち不可能だと言っても同じだ。
That is to say, it's effectively impossible.
結果はすなわち努力の成果だ。
The result is precisely the fruit of effort.
Used (e.g., '〜ばすなわち...') to indicate that what follows is the natural or immediate consequence of the preceding clause — 'if/when... then...'.
雨が降ればすなわち試合は中止だ。
If it rains, then the match will be canceled.
予算が確保されなければすなわち計画は延期されるだろう。
If the budget isn't secured, then the plan will probably be postponed.
彼が来なければすなわち会議は始められない。
If he doesn't come, then the meeting cannot be started.