Theorems · Inductive type · functional analysis
NormedCommRing
Type u_5 → Type u_5
A normed commutative ring is a commutative ring endowed with a norm which satisfies
the inequality ‖x y‖ ≤ ‖x‖ ‖y‖.
- Defined in
- Mathlib.Analysis.Normed.Ring.Basic
- Cited by
- 218 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by233
Results whose statement or proof uses this declaration.
- LinearMap.polarstatement and proof · cited by 23
- StrongDual.polarstatement and proof · cited by 19
- deriv_fun_powstatement · cited by 9
- HasDerivAt.powstatement and proof · cited by 8
- Finset.norm_prod_lestatement and proof · cited by 6
- LinearMap.polar_gcstatement and proof · cited by 5
- LinearMap.polar_antitonestatement and proof · cited by 4
- HasDerivWithinAt.fun_finsetProdstatement and proof · cited by 4
- LinearMap.polar_singletonstatement and proof · cited by 4
- HasFDerivAt.mulstatement and proof · cited by 4
- DifferentiableAt.fun_finsetProdstatement and proof · cited by 4
- EulerProduct.eulerProduct_hasProdstatement and proof · cited by 4
Showing the 200 most cited of 233.