Theorems · Theorem · order theory
leOnePart_anti
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : Group α] [MulLeftMono α] [MulRightMono α], Antitone leOnePart- Defined in
- Mathlib.Algebra.Order.Group.PosPart
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Latticestatement and proof · cited by 916
- Antitonestatement · cited by 563
- MulLeftMonostatement and proof · cited by 410
- MulRightMonostatement and proof · cited by 263
- LeOnePart.leOnePartstatement · cited by 41
- sup_le_sup_rightproof · cited by 14
- inv_le_inv_iffproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- le_iff_oneLePart_leOnePartproof · cited by 0