Theorems · Inductive type · commutative algebra
ExpChar
(R : Type u_1) → [AddMonoidWithOne R] → ℕ → Prop
The definition of the exponential characteristic of a semiring.
- Defined in
- Mathlib.Algebra.CharP.Defs
- Cited by
- 276 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 3 definitions · uses no axioms
- Assumes
- AddMonoidWithOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidWithOnestatement · cited by 313
Cited by299
Results whose statement or proof uses this declaration.
- frobeniusstatement and proof · cited by 80
- frobeniusEquivstatement and proof · cited by 48
- iterateFrobeniusstatement and proof · cited by 39
- iterateFrobeniusEquivstatement and proof · cited by 28
- ExpChar.casesOnstatement and proof · cited by 21
- PerfectRing.liftstatement and proof · cited by 19
- ringExpChar.eqstatement and proof · cited by 15
- IsPerfectClosurestatement and proof · cited by 14
- perfectClosureproof · cited by 14
- IsPerfectClosure.equivstatement and proof · cited by 13
- ExpChar.existsstatement · cited by 11
- isPurelyInseparable_iff_pow_memstatement and proof · cited by 10
Showing the 200 most cited of 299.