R
- Rademacher's theorem (mathematical analysis)
- Rado's theorem (harmonic analysis)
- Radon's theorem (convex sets)
- Radon–Nikodym theorem (measure theory)
- Raikov's theorem (probability)
- Ramanujam vanishing theorem (algebraic geometry)
- Ramanujan–Skolem's theorem (diophantine equations)
- Ramsey's theorem (graph theory, combinatorics)
- Rank-nullity theorem (linear algebra)
- Rao–Blackwell theorem (statistics)
- Rashevsky–Chow theorem (control theory)
- Rational root theorem (algebra, polynomials)
- Rationality theorem (politics)
- Ratner's theorems (ergodic theory)
- Rauch comparison theorem (Riemannian geometry)
- Rédei's theorem (group theory)
- Reeb sphere theorem (foliations)
- Reeh–Schlieder theorem (local quantum field theory)
- Reflection theorem (algebraic number theory)
- Regev's theorem (ring theory)
- Reidemeister–Singer Theorem (geometric topology)
- Reider's theorem (algebraic surfaces)
- Remmert–Stein theorem (complex analysis)
- Residue theorem (complex analysis)
- Reversed compound agent theorem (probability)
- Reynolds transport theorem (fluid dynamics)
- Ribet's theorem (elliptic curves)
- Rice's theorem (recursion theory, computer science)
- Rice–Shapiro theorem (computer science)
- Richardson's theorem (mathematical logic)
- Riemann mapping theorem (complex analysis)
- Riemann series theorem (mathematical series)
- Riemann's existence theorem (algebraic geometry)
- Riemann's theorem on removable singularities (complex analysis)
- Riemann–Roch theorem (Riemann surfaces, algebraic curves)
- Riemann–Roch theorem for smooth manifolds (differential topology)
- Riemann–Roch theorem for surfaces (algebraic surfaces)
- Riemann singularity theorem (algebraic geometry)
- Riesz representation theorem (functional analysis, Hilbert space)
- Riesz–Fischer theorem (real analysis)
- Riesz–Thorin theorem (functional analysis)
- Ringel–Youngs theorem (graph theory)
- Robbins theorem (graph theory)
- Robertson–Seymour theorem (graph theory)
- Robin's theorem (number theory)
- Robinson's joint consistency theorem (mathematical logic)
- Rokhlin's theorem (geometric topology)
- Rolle's theorem (calculus)
- Rosser's theorem (number theory)
- Rouché's theorem (complex analysis)
- Rouché–Capelli theorem (Linear algebra)
- Routh's theorem (triangle geometry)
- Routh–Hurwitz theorem (polynomials)
- Runge's theorem (complex analysis)
- Rybczynski theorem (economics)
- Ryll–Nardzewski fixed point theorem (functional analysis)
Read more about this topic: List Of Theorems