Theorems · Theorem · group theory
CoxeterSystem.wordProd_surjective
∀ {B : Type u_1} {W : Type u_3} [inst : Group W] {M : CoxeterMatrix B} (cs : CoxeterSystem M W),
Function.Surjective cs.wordProd- Defined in
- Mathlib.GroupTheory.Coxeter.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- CoxeterMatrixstatement and proof · cited by 140
- CoxeterSystemstatement and proof · cited by 126
- CoxeterSystem.simpleproof · cited by 73
- CoxeterSystem.wordProdstatement and proof · cited by 42
- CoxeterSystem.wordProd_nilproof · cited by 11
- CoxeterSystem.wordProd_consproof · cited by 9
- CoxeterSystem.simple_induction_leftproof · cited by 1
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