Mathlib Map

Theorems · Theorem · group theory

AddCon.rel_mk

∀ {M : Type u_1} [inst : Add 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, add' := h } a b ↔ s a b
Defined in
Mathlib.GroupTheory.Congruence.Defs
Cited by
4 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
Add
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddLocalization.r_iff_exists · cited by 5AddLocalization.r_iff_exi…AddCon.addSubgroup_quotientAddGroupCon · cited by 0AddCon.addSubgroup_quotie…QuotientAddGroup.con_addSubgroup · cited by 0QuotientAddGroup.con_addS…QuotientAddGroup.con_ker_eq_addConKer · cited by 0QuotientAddGroup.con_ker_…DFunLike.coe · cited by 62936DFunLike.coeAddCon · cited by 138AddConAddCon.rel_mkCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.