Mathlib Map

Theorems · Inductive type · group theory

ZPow

Type u → Type u

ZPow is an implementation detail of DivInvMonoid. It is needed because it is impossible to extend Pow M ℕ and Pow M ℤ at the same time.

Defined in
Mathlib.Algebra.Group.Defs
Cited by
1 results in Mathlib
Foundations
Depth 0 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CommGroupWithZero.toZPow · cited by 3CommGroupWithZero.toZPowZPow.zpow · cited by 3ZPow.zpowSemifield.toZPow · cited by 3Semifield.toZPowDivisionRing.toZPow · cited by 3DivisionRing.toZPowGroupWithZero.toZPow · cited by 3GroupWithZero.toZPowLinearOrderedCommGroupWithZero.toZPow · cited by 3LinearOrderedCommGroupWit…DivisionSemiring.toZPow · cited by 3DivisionSemiring.toZPowField.toZPow · cited by 3Field.toZPowDivInvMonoid.ext · cited by 2DivInvMonoid.extZPow.casesOn · cited by 1ZPow.casesOnDivInvMonoid.casesOn · cited by 1DivInvMonoid.casesOnDivisionSemiring.mk.noConfusion · cited by 0mk.noConfusionCommGroupWithZero.casesOn · cited by 0CommGroupWithZero.casesOnCommGroupWithZero.noConfusion · cited by 0CommGroupWithZero.noConfu…CommGroupWithZero.noConfusionType · cited by 0CommGroupWithZero.noConfu…ZPowCITED BYCITES

Cites0

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Nothing in Mathlib beyond the foundations.

Cited by55

Results whose statement or proof uses this declaration.