Mathlib Map

Theorems · Definition · order theory

Units.orderEmbeddingVal

{α : Type u_1} → [inst : Monoid α] → [inst_1 : LinearOrder α] → αˣ ↪o α

val : αˣ → α as an order embedding.

Defined in
Mathlib.Algebra.Order.Monoid.Units
Cited by
1 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext
Assumes
MonoidLinearOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Units.orderEmbeddingVal_apply · cited by 0Units.orderEmbeddingVal_a…LinearOrder · cited by 8572LinearOrderMonoid · cited by 3887MonoidUnits · cited by 2804UnitsUnits.val · cited by 1966Units.valOrderEmbedding · cited by 619OrderEmbeddingUnits.val_injective · cited by 17Units.val_injectiveUnits.orderEmbeddingValCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.