Theorems · Theorem · group theory
AddSubmonoid.fromLeftNeg_eq_neg
∀ {M : Type u_1} [inst : AddGroup M] (S : AddSubmonoid M) (x : ↥S.leftNeg), ↑(S.fromLeftNeg x) = -↑x- Defined in
- Mathlib.GroupTheory.Submonoid.Inverses
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice
- Assumes
- AddGroup
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubmonoidstatement and proof · cited by 1,178
- add_neg_cancelproof · cited by 213
- add_right_injproof · cited by 71
- AddSubmonoid.leftNegstatement and proof · cited by 19
- AddSubmonoid.fromLeftNegstatement and proof · cited by 8
- AddSubmonoid.add_fromLeftNegproof · cited by 5
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