This following is a list of lemmas (or, "lemmata", i.e. minor theorems, or sometimes intermediate technical results factored out of proofs). See also list of axioms, list of theorems and list of conjectures.
Algebra
Algebraic geometry
Category theory
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A commutative diagram that illustrates the five lemma
Linear algebra
Group theory
Polynomials
Ring theory and commutative algebra
Universal algebra
Analysis
Complex analysis
Fourier analysis
Differential equations
Functional analysis
Mathematical series
Numerical analysis
Applied mathematics
diagram of a length-8 fast Fourier transform
Control theory
Computational complexity theory
Cryptography
Microeconomics
Combinatorics
Graph theory
Order theory
Dynamical systems
Geometry
Euclidean geometry
Hyperbolic geometry
Metric spaces
Riemannian geometry
Mathematical logic
Set theory
Number theory
Analytic number theory
Diophantine equations
Sieve theory
Probability theory
Statistics
Measure theory
Topology
Differential topology
Fixed-point theory
An example of a covering described by the Knaster–Kuratowski–Mazurkiewicz lemma
Geometric topology
Topological groups and semigroups
