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Theorems · Theorem · commutative algebra

LinearEquiv.ofSubsingleton_apply

∀ {R : Type u_1} (M : Type u_5) (M₂ : Type u_7) [inst : Semiring R] [inst_1 : AddCommMonoid M]
  [inst_2 : AddCommMonoid M₂] [inst_3 : Module R M] [inst_4 : Module R M₂] [inst_5 : Subsingleton M]
  [inst_6 : Subsingleton M₂] (x : M), (LinearEquiv.ofSubsingleton M M₂) x = 0
Defined in
Mathlib.Algebra.Module.Equiv.Basic
Cited by
1 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Quot.sound
Assumes
SemiringAddCommMonoidAddCommMonoidModuleModuleSubsingletonSubsingleton
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LinearEquiv.ofSubsingleton_self · cited by 0LinearEquiv.ofSubsingleto…DFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idSemiring · cited by 13802SemiringAddCommMonoid · cited by 12281AddCommMonoidLinearEquiv · cited by 3317LinearEquivLinearEquiv.ofSubsingleton · cited by 6LinearEquiv.ofSubsingletonLinearEquiv.ofSubsingleton_ap…CITED BYCITES

Cites7

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Cited by1

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