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Theorems · Theorem · group theory

Group.ext

∀ {G : Type u_1} ⦃g₁ g₂ : Group G⦄, HMul.hMul = HMul.hMul → g₁ = g₂
Defined in
Mathlib.Algebra.Group.Ext
Cited by
3 results in Mathlib
Foundations
Depth 16 from the axioms · uses Quot.sound
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Around this declaration

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

HomotopyGroup.auxGroup_indep · cited by 2HomotopyGroup.auxGroup_in…CommGroup.ext · cited by 1CommGroup.extGroup.ext_iff · cited by 0Group.ext_iffGroup · cited by 6238GroupMonoid · cited by 3887MonoidMonoidHom · cited by 3629MonoidHomMonoidHom.map_inv · cited by 16MonoidHom.map_invMonoid.ext · cited by 7Monoid.extDivInvMonoid.ext · cited by 2DivInvMonoid.extGroup.toDivInvMonoid_injective · cited by 1Group.toDivInvMonoid_inje…Group.extCITED BYCITES

Cites7

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Cited by3

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