Theorems · Theorem · group theory
Con.inv
∀ {M : Type u_1} [inst : Group M] (c : Con M) {x y : M}, c x y → c x⁻¹ y⁻¹Multiplicative congruence relations preserve inversion.
- Defined in
- Mathlib.GroupTheory.Congruence.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- Group
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.
- DFunLike.coestatement and proof · cited by 62,936
- Groupstatement and proof · cited by 6,238
- Constatement and proof · cited by 152
- inv_mul_cancelproof · cited by 107
- Con.reflproof · cited by 5
- Con.map_of_mul_left_rel_oneproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.