Theorems · Definition · commutative algebra
AddSubmonoid.hasDistribNeg
{R : Type u_2} → [inst : NonUnitalNonAssocRing R] → HasDistribNeg (AddSubmonoid R)AddSubmonoid.neg distributes over multiplication.
This is available as an instance in the Pointwise locale.
- Defined in
- Mathlib.Algebra.Ring.Submonoid.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddSubmonoidstatement and proof · cited by 1,178
- NonUnitalNonAssocRingstatement and proof · cited by 354
- HasDistribNegstatement · cited by 114
- AddSubmonoid.mulstatement · cited by 18
Cited by0
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