Theorems · Definition · order theory
OrderIso.addLeft
{α : Type u} → [inst : AddGroup α] → [inst_1 : LE α] → [AddLeftMono α] → α → α ≃o αEquiv.addLeft as an OrderIso. See also OrderEmbedding.addLeft.
- Defined in
- Mathlib.Algebra.Order.Group.OrderIso
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- AddGroupLEAddLeftMono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- AddGroupstatement and proof · cited by 4,410
- OrderIsostatement · cited by 874
- AddLeftMonostatement and proof · cited by 687
- Equiv.addLeftproof · cited by 19
Cited by18
Results whose statement or proof uses this declaration.
- add_supproof · cited by 6
- csSup_addproof · cited by 3
- IsUpperSet.vaddproof · cited by 2
- IsLUB.addproof · cited by 2
- sInf_addproof · cited by 1
- add_infproof · cited by 1
- lowerClosure_vaddproof · cited by 1
- sSup_addproof · cited by 1
- IsLowerSet.vaddproof · cited by 1
- upperClosure_vaddproof · cited by 1
- csInf_addproof · cited by 1
- Finset.add_sup'proof · cited by 0