Theorems · Theorem · order theory
OrderIso.withBotCongr_refl
∀ {α : Type u_1} [inst : PartialOrder α], (OrderIso.refl α).withBotCongr = OrderIso.refl (WithBot α)- Defined in
- Mathlib.Order.Hom.WithTopBot
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- PartialOrder
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Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- WithBotstatement and proof · cited by 1,498
- OrderIsostatement · cited by 874
- OrderIso.reflstatement and proof · cited by 24
- RelIso.toEquiv_injectiveproof · cited by 6
- OrderIso.withBotCongrstatement and proof · cited by 4
- Equiv.withBotCongr_reflproof · cited by 1
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