Theorems · Theorem · order theory
WithZero.denselyOrdered_iff
∀ {M : Type u_3} [inst : Preorder M] [NoMinOrder M], DenselyOrdered (WithZero M) ↔ DenselyOrdered M- Defined in
- Mathlib.GroupTheory.ArchimedeanDensely
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- PreorderNoMinOrder
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- WithZerostatement · cited by 586
- DenselyOrderedstatement · cited by 471
- NoMinOrderstatement and proof · cited by 247
- WithBot.denselyOrdered_iffproof · cited by 1
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