Theorems · Theorem · functional analysis
norm_sub_norm_le_norm_inv_mul
∀ {E : Type u_5} [inst : SeminormedGroup E] (a b : E), ‖a‖ - ‖b‖ ≤ ‖a⁻¹ * b‖- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedGroup
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- LE.le.transproof · cited by 3,151
- SeminormedGroupstatement and proof · cited by 250
- le_abs_selfproof · cited by 113
- abs_norm_sub_norm_le_norm_inv_mulproof · cited by 3
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