Theorems · Theorem · commutative algebra
AdicCompletion.piEquivOfFintype_apply
∀ {R : Type u_1} [inst : CommRing R] (I : Ideal R) {ι : Type u_6} (M : ι → Type u_7)
[inst_1 : (i : ι) → AddCommGroup (M i)] [inst_2 : (i : ι) → Module R (M i)] [inst_3 : DecidableEq ι]
[inst_4 : Fintype ι] (x : AdicCompletion I ((j : ι) → M j)),
(AdicCompletion.piEquivOfFintype I M) x = (AdicCompletion.pi I M) x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Fintypestatement and proof · cited by 7,736
- Idealstatement and proof · cited by 4,748
- LinearEquivstatement · cited by 3,317
- LinearEquiv.symmproof · cited by 1,461
- LinearEquiv.toLinearMapproof · cited by 1,171
- AdicCompletionstatement and proof · cited by 160
Cited by1
Results whose statement or proof uses this declaration.
- AdicCompletion.piEquivFin_applyproof · cited by 0