Theorems · Theorem · group theory
Con.refl
∀ {M : Type u_1} [inst : Mul M] (c : Con M) (x : M), c x xCongruence relations are reflexive.
- Defined in
- Mathlib.GroupTheory.Congruence.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Constatement and proof · cited by 152
- Con.toSetoidproof · cited by 38
- Setoid.refl'proof · cited by 14
Cited by5
Results whose statement or proof uses this declaration.
- Localization.mk_eq_monoidOf_mk'_applyproof · cited by 4
- Localization.r_eq_r'proof · cited by 3
- Con.invproof · cited by 2
- Con.list_prodproof · cited by 2
- QuotientGroup.con_subgroupproof · cited by 0