Theorems · Theorem · functional analysis
norm_div_rev
∀ {E : Type u_5} [inst : SeminormedGroup E] (a b : E), ‖a / b‖ = ‖b / a‖- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- SeminormedGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Dist.distproof · cited by 1,539
- inv_oneproof · cited by 301
- SeminormedGroupstatement and proof · cited by 250
- inv_divproof · cited by 92
- dist_eq_norm_inv_mulproof · cited by 41
- dist_oneproof · cited by 5
- dist_eq_norm_inv_mul'proof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- norm_inv'proof · cited by 23
- norm_le_norm_add_norm_divproof · cited by 1
- norm_mul_sub_norm_div_le_two_mul_minproof · cited by 0