Mathlib Map

Theorems · Theorem · group theory

CoxeterSystem.reindex_mulEquiv

∀ {B : Type u_1} {B' : Type u_2} {W : Type u_3} [inst : Group W] {M : CoxeterMatrix B} (cs : CoxeterSystem M W)
  (e : B ≃ B'), (cs.reindex e).mulEquiv = cs.mulEquiv.trans (M.reindexGroupEquiv e).symm
Defined in
Mathlib.GroupTheory.Coxeter.Basic
Cited by
0 results in Mathlib
Foundations
Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Group
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Equiv · cited by 8337EquivGroup · cited by 6238GroupMulEquiv · cited by 1142MulEquivMulEquiv.symm · cited by 482MulEquiv.symmCoxeterMatrix · cited by 140CoxeterMatrixCoxeterSystem · cited by 126CoxeterSystemMulEquiv.trans · cited by 53MulEquiv.transCoxeterMatrix.Group · cited by 11CoxeterMatrix.GroupCoxeterSystem.mulEquiv · cited by 8CoxeterSystem.mulEquivCoxeterMatrix.reindex · cited by 6CoxeterMatrix.reindexCoxeterMatrix.reindexGroupEquiv · cited by 3CoxeterMatrix.reindexGrou…CoxeterSystem.reindex · cited by 2CoxeterSystem.reindexCoxeterSystem.reindex_mulEquivCITED BYCITES

Cites12

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

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.