Theorems · Theorem · linear algebra
LinearEquiv.transvection.of_right_eq_zero
∀ {R : Type u_1} {V : Type u_2} [inst : Ring R] [inst_1 : AddCommGroup V] [inst_2 : Module R V] (f : Module.Dual R V)
(hf : optParam (f 0 = 0) ⋯), LinearEquiv.transvection hf = LinearEquiv.refl R V- Defined in
- Mathlib.LinearAlgebra.Transvection.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- RingAddCommGroupModule
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
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- LinearMapstatement · cited by 10,215
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- LinearEquivstatement · cited by 3,317
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- neg_zeroproof · cited by 542
- LinearEquiv.reflstatement · cited by 143
- LinearEquiv.extproof · cited by 72
- LinearMap.map_zerostatement · cited by 52
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