Theorems · Theorem · functional analysis
range_nnnorm
∀ (E : Type u_1) [inst : SeminormedAddCommGroup E] [NormedSpace ℝ E] [NontrivialTopology E], Set.range nnnorm = Set.univ
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- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedSpacestatement and proof · cited by 12,499
- Set.rangestatement · cited by 4,705
- NNRealstatement · cited by 4,310
- Set.univstatement · cited by 3,945
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NNNorm.nnnormstatement · cited by 952
- Function.Surjective.range_eqproof · cited by 70
- NontrivialTopologystatement and proof · cited by 46
- nnnorm_surjectiveproof · cited by 1
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