Theorems · Theorem · Lie groups
AddUnits.range_embedProduct
∀ {α : Type u} [inst : AddMonoid α],
Set.range ⇑(AddUnits.embedProduct α) = {p | p.1 + AddOpposite.unop p.2 = 0 ∧ AddOpposite.unop p.2 + p.1 = 0}- 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
- AddMonoid
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
- AddMonoidHomstatement · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- AddOppositestatement and proof · cited by 452
- AddUnitsstatement and proof · cited by 325
- AddOpposite.unopstatement and proof · cited by 125
- AddUnits.add_negproof · cited by 19
- AddUnits.neg_addproof · cited by 17
- AddUnits.embedProductstatement and proof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- AddUnits.isClosedEmbedding_embedProductproof · cited by 0