Mathlib Map

Theorems · Theorem · group theory

AddAction.toPerm_zero

∀ (G : Type u_1) (α : Type u_5) [inst : AddGroup G] [inst_1 : AddAction G α], AddAction.toPerm 0 = 1
Defined in
Mathlib.Algebra.Group.Action.End
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
AddGroupAddAction
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Set.powersetCard.faithfulVAdd · cited by 0powersetCard.faithfulVAddAddGroup · cited by 4410AddGroupEquiv.Perm · cited by 1375Equiv.PermAddAction · cited by 820AddActionzero_vadd · cited by 95zero_vaddEquiv.Perm.ext · cited by 75Perm.extAddAction.toPerm · cited by 21AddAction.toPermAddAction.toPerm_apply · cited by 4AddAction.toPerm_applyAddAction.toPerm_zeroCITED BYCITES

Cites7

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

Cited by1

Results whose statement or proof uses this declaration.