Theorems · Theorem · linear algebra
LinearEquiv.coe_toLinearMap_flip
∀ {R : Type u_1} {M : Type u_2} {N : Type u_3} [inst : CommRing R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
[inst_3 : AddCommGroup N] [inst_4 : Module R N] [inst_5 : Module.IsReflexive R M] (e : N ≃ₗ[R] Module.Dual R M),
↑e.flip = (↑e).flip- Cited by
- 3 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- LinearEquivstatement and proof · cited by 3,317
- LinearEquiv.toLinearMapstatement · cited by 1,171
- Module.Dualstatement and proof · cited by 583
- LinearMap.flipstatement · cited by 193
- Module.IsReflexivestatement and proof · cited by 58
- LinearEquiv.flipstatement · cited by 10
Cited by3
Results whose statement or proof uses this declaration.
- Submodule.map_dualCoannihilator_linearEquiv_flipproof · cited by 1
- Submodule.dualAnnihilator_map_linearEquiv_flip_symmproof · cited by 0
- Submodule.map_dualAnnihilator_linearEquiv_flip_symmproof · cited by 0