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Theorems · Theorem · group theory

AddSubmonoid.add_fromLeftNeg

∀ {M : Type u_1} [inst : AddMonoid M] (S : AddSubmonoid M) (x : ↥S.leftNeg), ↑x + ↑(S.fromLeftNeg x) = 0
Defined in
Mathlib.GroupTheory.Submonoid.Inverses
Cited by
5 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Classical.choice
Assumes
AddMonoid
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Around this declaration

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

AddSubmonoid.fromLeftNeg_add · cited by 1AddSubmonoid.fromLeftNeg_…AddSubmonoid.add_leftNegEquiv · cited by 1AddSubmonoid.add_leftNegE…AddSubmonoid.fromLeftNeg_eq_iff · cited by 0AddSubmonoid.fromLeftNeg_…AddSubmonoid.fromLeftNeg_eq_neg · cited by 0AddSubmonoid.fromLeftNeg_…AddSubmonoid.fromLeftNeg_zero · cited by 0AddSubmonoid.fromLeftNeg_…AddMonoid · cited by 2864AddMonoidAddSubmonoid · cited by 1178AddSubmonoidSubtype.prop · cited by 505Subtype.propAddSubmonoid.leftNeg · cited by 19AddSubmonoid.leftNegAddSubmonoid.fromLeftNeg · cited by 8AddSubmonoid.fromLeftNegAddSubmonoid.add_fromLeftNegCITED BYCITES

Cites5

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Cited by5

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