Mathlib Map

Theorems · Theorem · group theory

MulEquiv.range_eq_top

∀ {G : Type u_1} {G' : Type u_2} [inst : Group G] [inst_1 : Group G'] (e : G ≃* G'), (↑e).range = ⊤
Defined in
Mathlib.Algebra.Group.Subgroup.Ker
Cited by
1 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupGroup
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MulEquiv.map_range_powMonoidHom · cited by 0MulEquiv.map_range_powMon…Top.top · cited by 9680Top.topGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupMulEquiv · cited by 1142MulEquivMonoidHom.range · cited by 314MonoidHom.rangeMonoidHomClass.toMonoidHom · cited by 294MonoidHomClass.toMonoidHomMulEquiv.surjective · cited by 41MulEquiv.surjectiveMonoidHom.range_eq_top · cited by 29MonoidHom.range_eq_topMulEquiv.range_eq_topCITED BYCITES

Cites8

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.