Theorems · Theorem · group theory
PresentedGroup.mk_eq_mk_of_mul_inv_mem
∀ {α : Type u_1} {rels : Set (FreeGroup α)} {x y : FreeGroup α},
x * y⁻¹ ∈ rels → (PresentedGroup.mk rels) x = (PresentedGroup.mk rels) y- Defined in
- Mathlib.GroupTheory.PresentedGroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- MonoidHomstatement · cited by 3,629
- FreeGroupstatement and proof · cited by 132
- PresentedGroupstatement · cited by 21
- PresentedGroup.mkstatement · cited by 10
- PresentedGroup.one_of_memproof · cited by 3
- eq_of_mul_inv_eq_oneproof · cited by 1
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