Theorems · Theorem · linear algebra
LinearMap.lTensor_range
∀ {R : Type u_1} [inst : CommSemiring R] {N : Type u_3} {P : Type u_4} (Q : Type u_5) [inst_1 : AddCommMonoid N]
[inst_2 : AddCommMonoid P] [inst_3 : AddCommMonoid Q] [inst_4 : Module R N] [inst_5 : Module R P]
[inst_6 : Module R Q] {g : N →ₗ[R] P}, (LinearMap.lTensor Q g).range = (LinearMap.lTensor Q g.range.subtype).range- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites18
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
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement and proof · cited by 10,215
- Top.topproof · cited by 9,680
- Submodulestatement and proof · cited by 7,192
- TensorProductstatement and proof · cited by 2,545
- LinearMap.compproof · cited by 1,642
- LinearMap.rangestatement and proof · cited by 893
- Submodule.subtypestatement and proof · cited by 480
- LinearMap.lTensorstatement and proof · cited by 203
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