Theorems · Theorem · group theory
MulEquiv.eq_symm_apply
∀ {M : Type u_4} {N : Type u_5} [inst : Mul M] [inst_1 : Mul N] (e : M ≃* N) {x : N} {y : M}, y = e.symm x ↔ e y = x- Defined in
- Mathlib.Algebra.Group.Equiv.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- MulEquivstatement and proof · cited by 1,142
- MulEquiv.symmstatement · cited by 482
- MulEquiv.toEquivproof · cited by 126
- Equiv.eq_symm_applyproof · cited by 85
Cited by3
Results whose statement or proof uses this declaration.
- Perfection.pthRootMonoidHom_eq_powMulEquiv_symmproof · cited by 2
- Con.comap_conGen_equivproof · cited by 1
- MulEquiv.apply_eq_iff_symm_applyproof · cited by 0