Theorems · Theorem · ring theory
LinearMap.flip_mul
∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : NonUnitalNonAssocCommSemiring A] [inst_2 : Module R A]
[inst_3 : SMulCommClass R A A] [inst_4 : IsScalarTower R A A], (LinearMap.mul R A).flip = LinearMap.mul R A- Defined in
- Mathlib.Algebra.Algebra.Bilinear
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- IsScalarTowerstatement and proof · cited by 3,896
- mul_commproof · cited by 2,262
- SMulCommClassstatement and proof · cited by 1,927
- LinearMap.extproof · cited by 844
- LinearMap.flipstatement · cited by 193
- SMulCommClass.symmstatement · cited by 67
- LinearMap.mulstatement · cited by 61
- LinearMap.mul_apply_applyproof · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- LinearMap.mul'_comp_commproof · cited by 1