Theorems · Theorem · linear algebra
LinearMap.GeneralLinearGroup.generalLinearEquiv_to_linearMap
∀ {R : Type u_1} {M : Type u_2} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
(f : LinearMap.GeneralLinearGroup R M), ↑((LinearMap.GeneralLinearGroup.generalLinearEquiv R M) f) = ↑f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement · cited by 10,215
- LinearEquivstatement · cited by 3,317
- Units.valstatement · cited by 1,966
- LinearEquiv.toLinearMapstatement and proof · cited by 1,171
- MulEquivstatement · cited by 1,142
- LinearMap.extproof · cited by 844
- LinearMap.GeneralLinearGroupstatement and proof · cited by 27
Cited by1
Results whose statement or proof uses this declaration.
- LinearMap.IsIdempotentElem.commute_iff_of_isUnitproof · cited by 1