Theorems · Theorem · group theory
Set.inv_range
∀ {α : Type u_2} [inst : InvolutiveInv α] {ι : Sort u_5} {f : ι → α}, (Set.range f)⁻¹ = Set.range fun i => (f i)⁻¹- Cited by
- 2 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
- Assumes
- InvolutiveInv
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Set.rangestatement and proof · cited by 4,705
- Set.range_compproof · cited by 223
- Set.invstatement · cited by 132
- InvolutiveInvstatement and proof · cited by 102
- Set.image_inv_eq_invproof · cited by 44
Cited by2
Results whose statement or proof uses this declaration.
- CoxeterSystem.submonoid_closure_range_simpleproof · cited by 4
- Set.inv_range'proof · cited by 0