Mathlib Map

Theorems · Definition · group theory

Equiv.inv

(G : Type u_14) → [InvolutiveInv G] → Equiv.Perm G

Inversion on a Group or GroupWithZero is a permutation of the underlying type.

Defined in
Mathlib.Algebra.Group.Equiv.Basic
Cited by
23 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
Assumes
InvolutiveInv
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

OrderIso.inv · cited by 27OrderIso.invHomeomorph.inv · cited by 21Homeomorph.invEquiv.inv_apply · cited by 11Equiv.inv_applyMeasurableEquiv.inv · cited by 9MeasurableEquiv.invIsometryEquiv.inv · cited by 8IsometryEquiv.invOrderIso.invENNReal · cited by 6OrderIso.invENNRealMatrix.detp_transpose · cited by 5Matrix.detp_transposeMulEquiv.inv · cited by 5MulEquiv.invSubmonoid.invOrderIso · cited by 5Submonoid.invOrderIsoMulEquiv.inv' · cited by 4MulEquiv.inv'MeasureTheory.IsFundamentalDomain.setLIntegral_eq_tsum' · cited by 2IsFundamentalDomain.setLI…Matrix.adjp_transpose · cited by 2Matrix.adjp_transposeSet.inv_subset_inv · cited by 2Set.inv_subset_invMeasureTheory.IsFundamentalDomain.lintegral_eq_tsum'' · cited by 1IsFundamentalDomain.linte…MeasureTheory.IsFundamentalDomain.setIntegral_eq_tsum' · cited by 1IsFundamentalDomain.setIn…Equiv.Perm · cited by 1375Equiv.PermInvolutiveInv · cited by 102InvolutiveInvFunction.Involutive.toPerm · cited by 16Involutive.toPerminv_involutive · cited by 12inv_involutiveEquiv.invCITED BYCITES

Cites4

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

Cited by32

Results whose statement or proof uses this declaration.