Theorems · Definition · order theory
Archimedean.embedRealFun
{M : Type u_1} → [AddCommGroup M] → [LinearOrder M] → [One M] → M → ℝMapping M to ℝ, defined as the supremum of ratLt' x.
- Defined in
- Mathlib.Data.Real.Embedding
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroupLinearOrderOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- SupSet.sSupproof · cited by 954
- Archimedean.ratLt'proof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- Archimedean.embedRealproof · cited by 4
- Archimedean.embedRealFun_addstatement and proof · cited by 1
- Archimedean.embedRealFun_strictMonostatement and proof · cited by 1
- Archimedean.embedReal_applystatement · cited by 1
- Archimedean.embedRealFun_zerostatement · cited by 0