Theorems · Theorem · group theory
inv_coe_set
∀ {G : Type u_2} {S : Type u_4} [inst : InvolutiveInv G] [inst_1 : SetLike S G] [InvMemClass S G] {H : S}, (↑H)⁻¹ = ↑H- Defined in
- Mathlib.Algebra.Group.Subgroup.Pointwise
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- Set.extproof · cited by 2,266
- SetLikestatement and proof · cited by 1,084
- Set.invstatement · cited by 132
- InvolutiveInvstatement and proof · cited by 102
- inv_mem_iffproof · cited by 11
- InvMemClassstatement and proof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- IsApproximateSubgroup.subgroupproof · cited by 1
- coe_div_coeproof · cited by 0