Theorems · Theorem · field theory
powMulEquiv_apply
∀ (M : Type u_1) (p : ℕ) [inst : CommMonoid M] [inst_1 : PerfectRing M p] (a : M), (powMulEquiv M p) a = a ^ p
- Defined in
- Mathlib.FieldTheory.Perfect
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidPerfectRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- CommMonoidstatement and proof · cited by 2,264
- MulEquivstatement · cited by 1,142
- PerfectRingstatement and proof · cited by 154
- powMulEquivstatement and proof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Perfection.pthRootMonoidHom_eq_powMulEquiv_symmproof · cited by 2