Theorems · Theorem · group theory
AddSubmonoid.closure_neg
∀ {G : Type u_2} [inst : AddGroup G] (s : Set G), AddSubmonoid.closure (-s) = -AddSubmonoid.closure s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- SetLike.coeproof · cited by 8,199
- AddGroupstatement and proof · cited by 4,410
- le_antisymmproof · cited by 2,068
- AddSubmonoidstatement · cited by 1,178
- neg_negproof · cited by 960
- AddSubmonoid.closurestatement and proof · cited by 224
- Set.negstatement · cited by 168
- AddSubmonoid.subset_closureproof · cited by 63
- AddSubmonoid.closure_leproof · cited by 35
- AddSubmonoid.negstatement · cited by 16
- Set.neg_subsetproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- AddSubmonoid.mem_closure_negproof · cited by 1