Theorems · Definition · order theory
AbsoluteValue.abs
{S : Type u_6} → [inst : Ring S] → [inst_1 : LinearOrder S] → [IsStrictOrderedRing S] → AbsoluteValue S SAbsoluteValue.abs is abs as a bundled AbsoluteValue.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- LinearOrderstatement and proof · cited by 8,572
- Ringstatement and proof · cited by 7,463
- IsStrictOrderedRingstatement and proof · cited by 2,490
- absproof · cited by 1,814
- AbsoluteValuestatement · cited by 363
Cited by6
Results whose statement or proof uses this declaration.
- rationalCauSeqPkgstatement · cited by 2
- AbsoluteValue.abs_applystatement and proof · cited by 1
- Rat.uniformSpace_eqstatement and proof · cited by 0
- AbsoluteValue.abs.congr_simpstatement and proof · cited by 0
- AbsoluteValue.absIsAdmissiblestatement and proof · cited by 0
- AbsoluteValue.abs_isEuclideanstatement · cited by 0