Theorems · Theorem · commutative algebra
AddUnits.val_neg_mulLeft
∀ {R : Type u_1} [inst : NonUnitalNonAssocSemiring R] (x : AddUnits R) (y : R), ↑(-x.mulLeft y) = y * x.neg- Defined in
- Mathlib.Algebra.Ring.Invertible
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- NonUnitalNonAssocSemiring
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.
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- AddUnitsstatement and proof · cited by 325
- AddUnits.valstatement and proof · cited by 248
- AddUnits.negstatement · cited by 14
- AddUnits.mulLeftstatement and proof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- AddUnits.neg_mul_negproof · cited by 0