Theorems · Theorem · commutative algebra

Algebra.intTrace.congr_simp

∀ (A : Type u_1) (B : Type u_6) [inst : CommRing A] [inst_1 : CommRing B] [inst_2 : Algebra A B] [inst_3 : IsDomain A]
  [inst_4 : IsIntegrallyClosed A] [inst_5 : IsDomain B] [inst_6 : IsIntegrallyClosed B] [inst_7 : Module.Finite A B]
  [inst_8 : Module.IsTorsionFree A B], Algebra.intTrace A B = Algebra.intTrace A B

Defined in: Mathlib.RingTheory.Trace.Quotient
Cited by: 0 results in Mathlib
Foundations: Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing CommRing Algebra IsDomain IsIntegrallyClosed IsDomain IsIntegrallyClosed Module.Finite Module.IsTorsionFree

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites9

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

RingHom.idstatement · cited by 18,349
CommRingstatement and proof · cited by 17,173
Algebrastatement and proof · cited by 11,388
LinearMapstatement · cited by 10,215
IsDomainstatement and proof · cited by 2,196
Module.Finitestatement and proof · cited by 1,032
Module.IsTorsionFreestatement and proof · cited by 600
IsIntegrallyClosedstatement and proof · cited by 203
Algebra.intTracestatement and proof · cited by 9

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.