Theorems · Theorem · field theory
IsPerfectClosure.equiv_comp_equiv_eq_id
∀ {K : Type u_1} {L : Type u_2} {M : Type u_3} [inst : CommRing K] [inst_1 : CommRing L] [inst_2 : CommRing M]
(i : K →+* L) (j : K →+* M) (p : ℕ) [inst_3 : ExpChar M p] [inst_4 : ExpChar K p] [inst_5 : ExpChar L p]
[inst_6 : PerfectRing L p] [inst_7 : IsPerfectClosure i p] [inst_8 : PerfectRing M p] [inst_9 : IsPerfectClosure j p],
(IsPerfectClosure.equiv i j p).trans (IsPerfectClosure.equiv j i p) = RingEquiv.refl L- Defined in
- Mathlib.FieldTheory.IsPerfectClosure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- RingEquiv.reflstatement · cited by 72
- RingEquiv.transstatement · cited by 54
- RingEquiv.extproof · cited by 33
- IsPerfectClosurestatement and proof · cited by 14
- IsPerfectClosure.equivstatement · cited by 13
- IsPerfectClosure.equiv_comp_equiv_apply_eq_selfproof · cited by 1
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