Theorems · Theorem · commutative algebra
SemiconjBy.sub_left
∀ {R : Type u} [inst : NonUnitalNonAssocRing R] {a b x y : R},
SemiconjBy a x y → SemiconjBy b x y → SemiconjBy (a - b) x y- Defined in
- Mathlib.Algebra.Ring.Semiconj
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
- Assumes
- NonUnitalNonAssocRing
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.
- sub_eq_add_negproof · cited by 1,023
- NonUnitalNonAssocRingstatement and proof · cited by 354
- SemiconjBystatement and proof · cited by 99
- SemiconjBy.neg_leftproof · cited by 3
- SemiconjBy.add_leftproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Commute.sub_leftproof · cited by 9