Theorems · Theorem · group theory
Con.rel_mk
∀ {M : Type u_1} [inst : Mul M] {s : Setoid M} {h : ∀ {w x y z : M}, s w x → s y z → s (w * y) (x * z)} {a b : M},
{ toSetoid := s, mul' := h } a b ↔ s a b- Defined in
- Mathlib.GroupTheory.Congruence.Defs
- Cited by
- 2 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.
Cites2
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 · cited by 152
Cited by2
Results whose statement or proof uses this declaration.
- QuotientGroup.con_ker_eq_conKerproof · cited by 0
- QuotientGroup.con_subgroupproof · cited by 0