Theorems · Theorem · commutative algebra
Algebra.trace_self_apply
∀ {R : Type u_1} [inst : CommRing R] (a : R), (Algebra.trace R R) a = a- Defined in
- Mathlib.RingTheory.Trace.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- Algebra.tracestatement · cited by 90
- Algebra.trace_selfproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.normalizedTrace_self_applyproof · cited by 1