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Theorems · Theorem · ring theory

Subalgebra.topEquiv_apply

∀ {R : Type u} {A : Type v} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] (a : ↥⊤),
  Subalgebra.topEquiv a = ↑a
Defined in
Mathlib.Algebra.Algebra.Subalgebra.Lattice
Cited by
2 results in Mathlib
Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringSemiringAlgebra
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Around this declaration

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

PowerBasis.ofAdjoinEqTop'_gen · cited by 2PowerBasis.ofAdjoinEqTop'…traceForm_dualSubmodule_adjoin · cited by 1traceForm_dualSubmodule_a…DFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringAlgebra · cited by 11388AlgebraCommSemiring · cited by 10911CommSemiringTop.top · cited by 9680Top.topAlgEquiv · cited by 1681AlgEquivSubalgebra · cited by 1353SubalgebraSubalgebra.topEquiv · cited by 9Subalgebra.topEquivSubalgebra.topEquiv_applyCITED BYCITES

Cites8

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

Cited by2

Results whose statement or proof uses this declaration.