Theorems · Theorem · Lie groups
AddUnits.embedding_val_mk
∀ {M : Type u_4} [inst : SubtractionMonoid M] [inst_1 : TopologicalSpace M],
ContinuousOn Neg.neg {x | IsAddUnit x} → Topology.IsEmbedding AddUnits.valAn auxiliary lemma that can be used to prove that coercion AddUnits M → M is a
topological embedding. Use AddUnits.isEmbedding_val or toAddUnits_homeomorph instead.
- Defined in
- Mathlib.Topology.Algebra.Constructions
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Set.ofPredstatement and proof · cited by 6,101
- ContinuousOnstatement and proof · cited by 1,411
- AddUnitsstatement and proof · cited by 325
- Topology.IsEmbeddingstatement · cited by 294
- AddUnits.valstatement · cited by 248
- IsAddUnitstatement and proof · cited by 215
- SubtractionMonoidstatement and proof · cited by 208
- AddUnits.val_neg_eq_neg_valproof · cited by 8
- AddUnits.isEmbedding_val_mk'proof · cited by 1
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