Theorems · Theorem · linear algebra
LinearEquiv.det_refl
∀ {R : Type u_1} [inst : CommRing R] {M : Type u_2} [inst_1 : AddCommGroup M] [inst_2 : Module R M],
LinearEquiv.det (LinearEquiv.refl R M) = 1- Defined in
- Mathlib.LinearAlgebra.Determinant
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingAddCommGroupModule
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Cites12
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
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- MonoidHomstatement · cited by 3,629
- LinearEquivstatement · cited by 3,317
- Unitsstatement · cited by 2,804
- LinearEquiv.reflstatement · cited by 143
- Units.extproof · cited by 86
- LinearEquiv.detstatement · cited by 51
- LinearMap.det_idproof · cited by 7
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