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Theorems · Theorem · group theory

Submonoid.op_injective

∀ {M : Type u_2} [inst : MulOneClass M], Function.Injective Submonoid.op
Defined in
Mathlib.Algebra.Group.Submonoid.MulOpposite
Cited by
2 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Quot.sound
Assumes
MulOneClass
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Around this declaration

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

Submonoid.op_eq_bot · cited by 0Submonoid.op_eq_botSubmonoid.op_eq_top · cited by 0Submonoid.op_eq_topSubmonoid · cited by 3086SubmonoidMulOpposite · cited by 1135MulOppositeMulOneClass · cited by 1018MulOneClassSubmonoid.op · cited by 38Submonoid.opOrderIso.injective · cited by 28OrderIso.injectiveSubmonoid.opEquiv · cited by 18Submonoid.opEquivSubmonoid.op_injectiveCITED BYCITES

Cites6

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.