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Theorems · Theorem · ring theory

Algebra.top_toSubring

∀ {R : Type u_1} {A : Type u_2} [inst : CommRing R] [inst_1 : Ring A] [inst_2 : Algebra R A], ⊤.toSubring = ⊤
Defined in
Mathlib.Algebra.Algebra.Subalgebra.Lattice
Cited by
1 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingRingAlgebra
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Around this declaration

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

Algebra.toSubring_eq_top · cited by 0Algebra.toSubring_eq_topCommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraTop.top · cited by 9680Top.topRing · cited by 7463RingSubalgebra · cited by 1353SubalgebraSubring · cited by 602SubringSubalgebra.toSubring · cited by 30Subalgebra.toSubringAlgebra.top_toSubringCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.