Theorems · Theorem · linear algebra
LinearMap.det_mulLeft
∀ {R : Type u_1} [inst : CommRing R] (a : R), LinearMap.det (LinearMap.mulLeft R a) = a- Defined in
- Mathlib.LinearAlgebra.Determinant
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- mul_oneproof · cited by 3,885
- MonoidHomstatement · cited by 3,629
- LinearMap.detstatement · cited by 127
- LinearMap.mulLeftstatement and proof · cited by 34
- LinearMap.det_ringproof · cited by 9
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