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Theorems · Theorem · commutative algebra

Subsemiring.comap_top

∀ {R : Type u} {S : Type v} [inst : NonAssocSemiring R] [inst_1 : NonAssocSemiring S] (f : R →+* S),
  Subsemiring.comap f ⊤ = ⊤
Defined in
Mathlib.Algebra.Ring.Subsemiring.Basic
Cited by
1 results in Mathlib
Foundations
Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonAssocSemiringNonAssocSemiring
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Around this declaration

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

Subsemiring.top_prod_top · cited by 0Subsemiring.top_prod_topRingHom · cited by 10189RingHomTop.top · cited by 9680Top.topNonAssocSemiring · cited by 805NonAssocSemiringSubsemiring · cited by 456SubsemiringGaloisConnection.u_top · cited by 31GaloisConnection.u_topSubsemiring.comap · cited by 20Subsemiring.comapSubsemiring.gc_map_comap · cited by 7Subsemiring.gc_map_comapSubsemiring.comap_topCITED BYCITES

Cites7

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

Cited by1

Results whose statement or proof uses this declaration.