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Theorems · Theorem · commutative algebra

LocalSubring.toSubring_mono

∀ {R : Type u_1} [inst : CommRing R], Monotone LocalSubring.toSubring
Defined in
Mathlib.RingTheory.LocalRing.LocalSubring
Cited by
1 results in Mathlib
Foundations
Depth 32 from the axioms · uses propext, Quot.sound
Assumes
CommRing
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Around this declaration

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

LocalSubring.exists_le_valuationSubring · cited by 2LocalSubring.exists_le_va…CommRing · cited by 17173CommRingMonotone · cited by 1397MonotoneSubring · cited by 602SubringLocalSubring.toSubring · cited by 18LocalSubring.toSubringLocalSubring · cited by 18LocalSubringLocalSubring.toSubring_monoCITED BYCITES

Cites5

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.