Theorems · Definition · group theory
Submonoid.inv
{G : Type u_2} → [inst : Group G] → Inv (Submonoid G)The submonoid with every element inverted.
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coeproof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Submonoidstatement and proof · cited by 3,086
Cited by15
Results whose statement or proof uses this declaration.
- Submonoid.mem_invstatement · cited by 2
- Submonoid.closure_invstatement · cited by 1
- Submonoid.coe_invstatement · cited by 1
- Submonoid.inv_lestatement · cited by 1
- Submonoid.mulSupport_toSubmonoidstatement · cited by 0
- Submonoid.mk_inv_mul_mk_eq_onestatement · cited by 0
- Submonoid.mk_mul_mk_inv_eq_onestatement · cited by 0
- Submonoid.inv_botstatement · cited by 0
- Submonoid.inv_iInfstatement · cited by 0
- Submonoid.inv_iSupstatement · cited by 0
- Submonoid.inv_infstatement · cited by 0
- Submonoid.inv_le_invstatement · cited by 0