Theorems · Theorem · functional analysis
norm_div_le_of_le
∀ {E : Type u_5} [inst : SeminormedGroup E] {a₁ a₂ : E} {r₁ r₂ : ℝ}, ‖a₁‖ ≤ r₁ → ‖a₂‖ ≤ r₂ → ‖a₁ / a₂‖ ≤ r₁ + r₂- Defined in
- Mathlib.Analysis.Normed.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedGroup
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- Realstatement and proof · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- LE.le.transproof · cited by 3,151
- add_le_addproof · cited by 666
- SeminormedGroupstatement and proof · cited by 250
- norm_div_leproof · cited by 3
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