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Theorems · Theorem · group theory

CoxeterSystem.map_mulEquiv

∀ {B : Type u_1} {W : Type u_3} {H : Type u_4} [inst : Group W] [inst_1 : Group H] {M : CoxeterMatrix B}
  (cs : CoxeterSystem M W) (e : W ≃* H), (cs.map e).mulEquiv = e.symm.trans cs.mulEquiv
Defined in
Mathlib.GroupTheory.Coxeter.Basic
Cited by
0 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupGroup
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Group · 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.mulEquivCoxeterSystem.map · cited by 2CoxeterSystem.mapCoxeterSystem.map_mulEquivCITED BYCITES

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