lean4-htt/library/data/real/real.md

data.real

The real numbers: classically, as a quotient type; constructively, as a setoid.

• basic : the reals as a commutative ring (constructive)
• order : the reals as an ordered ring (constructive)
• division : the reals as a discrete linear ordered field (classical)
• complete : the reals are Cauchy complete (classical)