Theorems · Theorem · commutative algebra
SemiconjBy.neg_left_iff
∀ {R : Type u} [inst : Mul R] [inst_1 : HasDistribNeg R] {a x y : R}, SemiconjBy (-a) x y ↔ SemiconjBy a x y- Defined in
- Mathlib.Algebra.Ring.Semiconj
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- Assumes
- MulHasDistribNeg
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.
- neg_negproof · cited by 960
- HasDistribNegstatement and proof · cited by 114
- SemiconjBystatement and proof · cited by 99
- SemiconjBy.neg_leftproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Commute.neg_left_iffproof · cited by 0