Theorems · Definition · number theory
PadicInt.Coe.ringHom
{p : ℕ} → [hp : Fact (Nat.Prime p)] → ℤ_[p] →+* ℚ_[p]The coercion from ℤ_[p] to ℚ_[p] as a ring homomorphism.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement · cited by 10,189
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- PadicIntstatement · cited by 179
- Padicstatement · cited by 151
- Subring.subtypeproof · cited by 22
- PadicInt.subringproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- PadicInt.dividedPowersproof · cited by 1
- PadicInt.Coe.ringHom_applystatement and proof · cited by 0
- PadicInt.coe_sumproof · cited by 0