Cauchy's Theorem


 * Cauchy's Lemma (Group Theory), also known as Cauchy's Group Theorem, concerning elements of prime order in a finite group
 * Cauchy's Lemma (Number Theory) (on representation of integers as sums of $4$ integers or squares)
 * Cauchy's (Group) Theorem or Cauchy's Theorem for Groups, concerning existence of a subgroup of prime order in a finite group
 * Cauchy's Theorem (Geometry): concerning congruent polytopes
 * Cauchy Mean Value Theorem: extension to the Mean Value Theorem
 * Cauchy-Goursat Theorem: value of integrals in complex analysis
 * Cauchy-Hadamard Theorem: radius of convergence of a power series
 * Cauchy-Kovalevsky Theorem: concerning existence and uniqueness of solutions of partial differential equations
 * Cauchy-Lipschitz Theorem: concerning existence of solutions to certain differential equations (also known as Picard's Existence Theorem)
 * Cauchy-Peano Theorem: concerning existence of solutions to certain initial value problems