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Theorems · Theorem · group theory

Function.mulSupport_fun_inv

∀ {α : Type u_1} {G : Type u_3} [inst : DivisionMonoid G] (f : α → G),
  (Function.mulSupport fun x => (f x)⁻¹) = Function.mulSupport f
Defined in
Mathlib.Algebra.Group.Support
Cited by
5 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext, Quot.sound
Assumes
DivisionMonoid
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Around this declaration

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

mulTSupport_fun_inv · cited by 1mulTSupport_fun_invComplex.ECanonicalDecomp.eq_smul_meromorphicTrailingCoeffAt · cited by 1ECanonicalDecomp.eq_smul_…MeromorphicOn.exists_canonicalDecomp · cited by 1MeromorphicOn.exists_cano…Function.mulSupport_inv · cited by 1Function.mulSupport_invComplex.ECanonicalDecomp.log_norm_eq · cited by 0ECanonicalDecomp.log_norm…Set · cited by 53352SetSet.ext · cited by 2266Set.extFunction.mulSupport · cited by 240Function.mulSupportDivisionMonoid · cited by 201DivisionMonoidinv_ne_one · cited by 3inv_ne_oneFunction.mulSupport_fun_invCITED BYCITES

Cites5

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

Cited by5

Results whose statement or proof uses this declaration.