Theorems · Theorem · number theory
PadicInt.mahlerSeries.congr_simp
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : Module ℤ_[p] E]
[inst_2 : IsBoundedSMul ℤ_[p] E] (a a_1 : ℕ → E), a = a_1 → PadicInt.mahlerSeries a = PadicInt.mahlerSeries a_1- Defined in
- Mathlib.NumberTheory.Padics.MahlerBasis
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- NormedAddCommGroupstatement and proof · cited by 15,752
- Factstatement and proof · cited by 2,726
- ContinuousMapstatement · cited by 2,491
- Nat.Primestatement and proof · cited by 2,059
- IsBoundedSMulstatement and proof · cited by 329
- PadicIntstatement and proof · cited by 179
- PadicInt.mahlerSeriesstatement and proof · cited by 9
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.