Theorems · Theorem · commutative algebra
Equiv.linearEquiv_apply
∀ {R : Type u_1} {α : Type u_2} {β : Type u_3} [inst : Semiring R] (e : α ≃ β) (a : α) [inst_1 : AddCommMonoid β]
[inst_2 : Module R β], (Equiv.linearEquiv R e) a = e a- Defined in
- Mathlib.Algebra.Module.TransferInstance
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
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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
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Equivstatement and proof · cited by 8,337
- LinearEquivstatement · cited by 3,317
- Equiv.linearEquivstatement · cited by 9
- Equiv.addCommMonoidstatement · cited by 8
- Equiv.modulestatement · cited by 8
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