Mathlib Map

Theorems · Definition · order theory

AbsoluteValue.toMulHom

{R : Type u_5} →
  {S : Type u_6} → [inst : Semiring R] → [inst_1 : Semiring S] → [inst_2 : PartialOrder S] → AbsoluteValue R S → R →ₙ* S
Defined in
Mathlib.Algebra.Order.AbsoluteValue.Basic
Cited by
5 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
SemiringSemiringPartialOrder
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Around this declaration

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

AbsoluteValue.map_mul · cited by 9AbsoluteValue.map_mulMulRingNorm.mulRingNormEquivAbsoluteValue · cited by 4MulRingNorm.mulRingNormEq…AbsoluteValue.comp · cited by 3AbsoluteValue.compAbsoluteValue.add_le' · cited by 2AbsoluteValue.add_le'AbsoluteValue.nonneg' · cited by 1AbsoluteValue.nonneg'AbsoluteValue.eq_zero' · cited by 1AbsoluteValue.eq_zero'AbsoluteValue.coe_toMulHom · cited by 0AbsoluteValue.coe_toMulHomSemiring · cited by 13802SemiringPartialOrder · cited by 6410PartialOrderAbsoluteValue · cited by 363AbsoluteValueMulHom · cited by 299MulHomAbsoluteValue.toMulHomCITED BYCITES

Cites4

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

Cited by7

Results whose statement or proof uses this declaration.