Theorems · Theorem · commutative algebra
RingQuot.Rel.neg
∀ {R : Type uR} [inst : Ring R] {r : R → R → Prop} ⦃a b : R⦄, RingQuot.Rel r a b → RingQuot.Rel r (-a) (-b)- Defined in
- Mathlib.Algebra.RingQuot
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- RingQuot.Relstatement and proof · cited by 30
- neg_eq_neg_one_mulproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- RingQuot.Rel.sub_rightproof · cited by 0