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Theorems · Theorem · group theory

Function.support_inv

∀ {ι : Type u_1} {G₀ : Type u_3} [inst : GroupWithZero G₀] (f : ι → G₀),
  (Function.support fun a => (f a)⁻¹) = Function.support f
Defined in
Mathlib.Algebra.GroupWithZero.Indicator
Cited by
3 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupWithZero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Function.support_div · cited by 4Function.support_divExistsContDiffBumpBase.w_support · cited by 4ExistsContDiffBumpBase.w_…Function.support_inv' · cited by 0Function.support_inv'Set · cited by 53352SetSet.ext · cited by 2266Set.extGroupWithZero · cited by 691GroupWithZeroFunction.support · cited by 610Function.supportinv_eq_zero · cited by 15inv_eq_zeroFunction.support_invCITED BYCITES

Cites5

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

Cited by3

Results whose statement or proof uses this declaration.