Theorems · Theorem · field theory
IsPerfectClosure.equiv_self_apply
∀ {K : Type u_1} {L : Type u_2} [inst : CommRing K] [inst_1 : CommRing L] (i : K →+* L) (p : ℕ) [inst_2 : ExpChar K p]
[inst_3 : ExpChar L p] [inst_4 : PerfectRing L p] [inst_5 : IsPerfectClosure i p] (x : L),
(IsPerfectClosure.equiv i i p) x = x- Defined in
- Mathlib.FieldTheory.IsPerfectClosure
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- RingEquivstatement · cited by 1,147
- ExpCharstatement and proof · cited by 276
- PerfectRingstatement and proof · cited by 154
- IsPerfectClosurestatement and proof · cited by 14
- IsPerfectClosure.equivstatement · cited by 13
- PerfectRing.liftAux_self_applyproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- IsPerfectClosure.equiv_comp_equiv_apply_eq_selfproof · cited by 1
- IsPerfectClosure.equiv_selfproof · cited by 0