Theorems · Theorem · group theory
AddChar.mulShift_zero
∀ {R : Type u_1} {M : Type u_2} [inst : Ring R] [inst_1 : CommMonoid M] (ψ : AddChar R M), ψ.mulShift 0 = 1mulShift ψ 0 is the trivial character.
- Defined in
- Mathlib.Algebra.Group.AddChar
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- RingCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Ringstatement and proof · cited by 7,463
- CommMonoidstatement and proof · cited by 2,264
- MulZeroClass.zero_mulproof · cited by 1,625
- AddCharstatement and proof · cited by 286
- AddChar.mulShiftstatement and proof · cited by 26
- AddChar.map_zero_eq_oneproof · cited by 17
- AddChar.extproof · cited by 11
- AddChar.mulShift_applyproof · cited by 9
- AddChar.one_applyproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- AddChar.not_isPrimitive_mulShiftproof · cited by 1
- AddChar.to_mulShift_inj_of_isPrimitiveproof · cited by 0