Theorems · Definition · commutative algebra
Ring.ord
(R : Type u_1) → [Ring R] → R → ℕ∞
Order of vanishing function for elements of a ring.
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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.
- Ringstatement and proof · cited by 7,463
- ENatstatement · cited by 4,985
- HasQuotient.Quotientproof · cited by 2,301
- Ideal.spanproof · cited by 948
- Module.lengthproof · cited by 56
Cited by30
Results whose statement or proof uses this declaration.
- Ring.ordMonoidWithZeroHomproof · cited by 12
- Ring.ordFrac_eq_ordproof · cited by 4
- Ring.ordMonoidHomproof · cited by 4
- Ring.ordMonoidWithZeroHom_eq_ordstatement · cited by 4
- Ring.ord_eq_addValstatement and proof · cited by 3
- Ring.ord_mulstatement · cited by 3
- Ring.ord_ne_topstatement · cited by 3
- Ring.ord_of_isUnitstatement and proof · cited by 2
- Ring.ord_onestatement · cited by 2
- Ring.ord_eq_of_associatedstatement and proof · cited by 1
- Ring.ord_le_ord_mulstatement · cited by 1
- Ring.ord_lt_topstatement · cited by 1