Theorems · Theorem · functional analysis
CocompactMapClass.norm_le
∀ {E : Type u_2} {F : Type u_3} {𝓕 : Type u_4} [inst : NormedAddCommGroup E] [inst_1 : NormedAddCommGroup F] {f : 𝓕}
[ProperSpace F] [inst_3 : FunLike 𝓕 E F] [CocompactMapClass 𝓕 E F] (ε : ℝ), ∃ r, ∀ (x : E), r < ‖x‖ → ε < ‖f x‖- Cited by
- 0 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Norm.normstatement and proof · cited by 5,413
- Set.preimageproof · cited by 4,946
- Filter.Tendstoproof · cited by 3,814
- Compl.complproof · cited by 2,925
- FunLikestatement and proof · cited by 2,560
- Metric.closedBallproof · cited by 704
- ProperSpacestatement and proof · cited by 190
- dist_zero_rightproof · cited by 172
- Filter.cocompactproof · cited by 141
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