Mathlib Map

Theorems · Theorem · commutative algebra

LinearEquiv.ofSubsingleton_self

∀ {R : Type u_1} (M : Type u_5) [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  [inst_3 : Subsingleton M], LinearEquiv.ofSubsingleton M M = LinearEquiv.refl R M
Defined in
Mathlib.Algebra.Module.Equiv.Basic
Cited by
0 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Quot.sound
Assumes
SemiringAddCommMonoidModuleSubsingleton
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Module · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idSemiring · cited by 13802SemiringAddCommMonoid · cited by 12281AddCommMonoidLinearEquiv · cited by 3317LinearEquivLinearEquiv.refl · cited by 143LinearEquiv.reflLinearEquiv.ext · cited by 72LinearEquiv.extLinearEquiv.ofSubsingleton · cited by 6LinearEquiv.ofSubsingletonLinearEquiv.ofSubsingleton_apply · cited by 1LinearEquiv.ofSubsingleto…LinearEquiv.ofSubsingleton_se…CITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.