Theorems · Theorem · group theory
HNNExtension.of_injective
∀ {G : Type u_1} [inst : Group G] {A B : Subgroup G} (φ : ↥A ≃* ↥B), Function.Injective ⇑HNNExtension.of- Defined in
- Mathlib.GroupTheory.HNNExtension
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- MulEquivstatement and proof · cited by 1,142
- Function.Injective.of_compproof · cited by 82
- HNNExtension.NormalWord.TransversalPairproof · cited by 46
- HNNExtension.NormalWordproof · cited by 36
- HNNExtensionstatement and proof · cited by 26
- FaithfulSMul.eq_of_smul_eq_smulproof · cited by 22
- HNNExtension.ofstatement and proof · cited by 20
- HNNExtension.NormalWord.of_smul_eq_smulproof · cited by 4
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