Mathlib Map

Theorems · Theorem · group theory

isLeftCancelAdd_iff

∀ (G : Type u) [inst : Add G], IsLeftCancelAdd G ↔ ∀ (a : G), IsAddLeftRegular a
Defined in
Mathlib.Algebra.Group.Defs
Cited by
2 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
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Around this declaration

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

IsAddLeftRegular.all · cited by 5IsAddLeftRegular.allisCancelAdd_iff_forall_isAddRegular · cited by 2isCancelAdd_iff_forall_is…IsLeftCancelAdd · cited by 72IsLeftCancelAddIsAddLeftRegular · cited by 58IsAddLeftRegularIsLeftCancelAdd.casesOn · cited by 1IsLeftCancelAdd.casesOnisLeftCancelAdd_iffCITED BYCITES

Cites3

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

Cited by2

Results whose statement or proof uses this declaration.