Theorems · Theorem · Lie groups
Units.range_embedProduct
∀ {α : Type u} [inst : Monoid α],
Set.range ⇑(Units.embedProduct α) = {p | p.1 * MulOpposite.unop p.2 = 1 ∧ MulOpposite.unop p.2 * p.1 = 1}- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Setstatement · cited by 53,352
- Set.ofPredstatement and proof · cited by 6,101
- Set.rangestatement · cited by 4,705
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- MulOppositestatement and proof · cited by 1,135
- MulOpposite.unopstatement and proof · cited by 268
- Units.mul_invproof · cited by 67
- Units.inv_mulproof · cited by 46
- Units.embedProductstatement and proof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Units.isClosedEmbedding_embedProductproof · cited by 2