Theorems · Theorem · group theory
PresentedMonoid.mk_eq_mk_iff
∀ {α : Type u_2} {rels : FreeMonoid α → FreeMonoid α → Prop} {x y : FreeMonoid α},
(PresentedMonoid.mk rels) x = (PresentedMonoid.mk rels) y ↔ (conGen rels) x y- Defined in
- Mathlib.Algebra.PresentedMonoid.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- MonoidHomstatement · cited by 3,629
- Constatement · cited by 152
- FreeMonoidstatement and proof · cited by 147
- Quotient.eqproof · cited by 50
- conGenstatement · cited by 23
- PresentedMonoidstatement · cited by 10
- PresentedMonoid.mkstatement · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- PresentedMonoid.mk_eq_mk_of_relproof · cited by 0