Theorems · Theorem · order theory
InitialSeg.isNormal
∀ {α : Type u_1} {β : Type u_2} [inst : LinearOrder α] [inst_1 : LinearOrder β] (f : α ≤i β), Order.IsNormal ⇑f- Defined in
- Mathlib.Order.IsNormal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrderLinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Setproof · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- upperBoundsproof · cited by 263
- Order.IsSuccLimitproof · cited by 255
- lowerBoundsproof · cited by 212
- Order.IsNormalstatement · cited by 118
- InitialSegstatement and proof · cited by 70
- InitialSeg.strictMonoproof · cited by 4
- InitialSeg.image_Iioproof · cited by 2
- Order.IsSuccLimit.isLUB_Iioproof · cited by 2
- InitialSeg.map_isSuccLimitproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- OrderIso.isNormalproof · cited by 2
- PrincipalSeg.isNormalproof · cited by 0