Mathlib Map

Theorems · Definition · group theory

AddMonoidHom.flip

{M : Type uM} →
  {N : Type uN} →
    {P : Type uP} → {mM : AddZeroClass M} → {mN : AddZeroClass N} → {mP : AddCommMonoid P} → (M →+ N →+ P) → N →+ M →+ P

flip arguments of f : M →+ N →+ P

Defined in
Mathlib.Algebra.Group.Hom.Instances
Cited by
25 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.sum_smul · cited by 30Finset.sum_smulCategoryTheory.Abelian.Ext.postcomp · cited by 18Ext.postcompAddMonoid.End.mulRight · cited by 9End.mulRightFinsupp.toFreeAbelianGroup · cited by 8Finsupp.toFreeAbelianGroupHasSum.smul_const · cited by 6HasSum.smul_constAddMonoidHom.eval · cited by 4AddMonoidHom.evalAddMonoidHom.compHom' · cited by 3AddMonoidHom.compHom'DirectSum.mul_eq_dfinsuppSum · cited by 3DirectSum.mul_eq_dfinsupp…IsAddUnit.smul_right · cited by 3IsAddUnit.smul_rightDirectSum.mulHom · cited by 2DirectSum.mulHomAddMonoidAlgebra.liftMagma · cited by 2AddMonoidAlgebra.liftMagmaDirectSum.Gmodule.smulAddMonoidHom · cited by 2Gmodule.smulAddMonoidHomMonoidAlgebra.liftMagma · cited by 2MonoidAlgebra.liftMagmaDirectSum.mulHom_of_of · cited by 1DirectSum.mulHom_of_ofsum_lie · cited by 1sum_lieDFunLike.coe · cited by 62936DFunLike.coeAddCommMonoid · cited by 12281AddCommMonoidAddMonoidHom · cited by 3230AddMonoidHomAddZeroClass · cited by 1237AddZeroClassAddMonoidHom.flipCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by35

Results whose statement or proof uses this declaration.