Theorems · Theorem · order theory
WithTop.subtypeOrderIso_apply_coe
∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : OrderTop α] [inst_2 : DecidablePred fun x => x = ⊤]
(a : { a // a ≠ ⊤ }), WithTop.subtypeOrderIso ↑a = ↑a- Defined in
- Mathlib.Order.Hom.WithTopBot
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
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.
- DFunLike.coestatement · cited by 62,936
- Top.topstatement and proof · cited by 9,680
- PartialOrderstatement and proof · cited by 6,410
- WithTopstatement · cited by 3,754
- WithTop.somestatement · cited by 1,128
- OrderIsostatement · cited by 874
- OrderTopstatement and proof · cited by 493
- WithTop.subtypeOrderIsostatement · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- FiniteArchimedeanClass.withTopOrderIso_apply_coeproof · cited by 4
- FiniteMulArchimedeanClass.withTopOrderIso_apply_coeproof · cited by 0