Theorems · Theorem · number theory
MulChar.apply_mulCharEquiv
∀ {M : Type u_1} {R : Type u_2} [inst : CommMonoid M] [inst_1 : CommRing R] [inst_2 : Finite M]
[inst_3 : HasEnoughRootsOfUnity R (Monoid.exponent Mˣ)] (χ : MulChar M R) (η : MulChar (MulChar M R) R),
χ ↑((MulChar.mulCharEquiv M R) η) = η χ- Defined in
- Mathlib.NumberTheory.MulChar.Duality
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
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
- CommRingstatement and proof · cited by 17,173
- Finitestatement and proof · cited by 3,029
- Unitsstatement and proof · cited by 2,804
- CommMonoidstatement and proof · cited by 2,264
- Units.valstatement · cited by 1,966
- MulEquivstatement · cited by 1,142
- MulCharstatement and proof · cited by 186
- Monoid.exponentstatement and proof · cited by 128
- HasEnoughRootsOfUnitystatement and proof · cited by 56
- MulEquiv.symm_apply_applyproof · cited by 17
- MulChar.mulCharEquivstatement and proof · cited by 2
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