Theorems · Theorem · group theory
AddEquiv.self_trans_symm
∀ {M : Type u_4} {N : Type u_5} [inst : Add M] [inst_1 : Add N] (e : M ≃+ N), e.trans e.symm = AddEquiv.refl M- Defined in
- Mathlib.Algebra.Group.Equiv.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses Quot.sound
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.
- AddEquivstatement and proof · cited by 1,087
- AddEquiv.symmstatement and proof · cited by 530
- DFunLike.extproof · cited by 240
- AddEquiv.transstatement and proof · cited by 53
- AddEquiv.reflstatement and proof · cited by 34
- AddEquiv.symm_apply_applyproof · cited by 19
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.map_symm_eq_iff_map_eqproof · cited by 0