Theorems · Theorem · linear algebra
contractRight_apply
∀ {R : Type u_2} {M : Type u_3} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
(f : Module.Dual R M) (m : M), (contractRight R M) (m ⊗ₜ[R] f) = f m- Defined in
- Mathlib.LinearAlgebra.Contraction
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- TensorProductstatement · cited by 2,545
- TensorProduct.tmulstatement · cited by 1,182
- Module.Dualstatement and proof · cited by 583
- contractRightstatement · cited by 1
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