Theorems · Definition · ring theory
invertibleOne
{α : Type u} → [inst : Monoid α] → Invertible 11 is the inverse of itself
- Defined in
- Mathlib.Algebra.Group.Invertible.Defs
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- Invertiblestatement · cited by 549
Cited by8
Results whose statement or proof uses this declaration.
- Polynomial.Splits.comp_of_natDegree_le_one_of_monicproof · cited by 3
- Polynomial.Splits.of_natDegree_le_one_of_monicproof · cited by 2
- Matrix.det_fromBlocks_one₁₁proof · cited by 1
- Matrix.det_fromBlocks_one₂₂proof · cited by 1
- FormalGroup.Xzero_eq_Xproof · cited by 1
- FormalGroup.zeroX_eq_Xproof · cited by 1
- Polynomial.dvd_comp_X_sub_C_iffproof · cited by 1
- Polynomial.dvd_comp_neg_X_iffproof · cited by 0