Theorems · Theorem · group theory
Submonoid.closure_inv
∀ {G : Type u_2} [inst : Group G] (s : Set G), Submonoid.closure s⁻¹ = (Submonoid.closure s)⁻¹- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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
- Groupstatement and proof · cited by 6,238
- Submonoidstatement · cited by 3,086
- le_antisymmproof · cited by 2,068
- inv_invproof · cited by 494
- Submonoid.closurestatement and proof · cited by 167
- Set.invstatement · cited by 132
- Submonoid.subset_closureproof · cited by 46
- Submonoid.closure_leproof · cited by 27
- Submonoid.invstatement · cited by 15
- Set.inv_subsetproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.mem_closure_invproof · cited by 1