Theorems · Theorem · group theory
HNNExtension.NormalWord.t_pow_smul_eq_unitsSMul
∀ {G : Type u_1} [inst : Group G] {A B : Subgroup G} (φ : ↥A ≃* ↥B) {d : HNNExtension.NormalWord.TransversalPair G A B}
(u : ℤˣ) (w : HNNExtension.NormalWord d), HNNExtension.t ^ ↑u • w = HNNExtension.NormalWord.unitsSMul φ u w- Defined in
- Mathlib.GroupTheory.HNNExtension
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- MulEquivstatement and proof · cited by 1,142
- pow_oneproof · cited by 894
- zpow_negproof · cited by 198
- zpow_ofNatproof · cited by 144
- map_invproof · cited by 95
- HNNExtension.NormalWord.TransversalPairstatement and proof · cited by 46
- HNNExtension.NormalWordstatement and proof · cited by 36
Cited by2
Results whose statement or proof uses this declaration.
- HNNExtension.ReducedWord.exists_normalWord_prod_eqproof · cited by 1
- HNNExtension.NormalWord.prod_smul_emptyproof · cited by 0