Mathlib Map

Theorems · Theorem · order theory

Multiplicative.toAdd_le

∀ {α : Type u_1} [inst : Preorder α] {a b : Multiplicative α}, Multiplicative.toAdd a ≤ Multiplicative.toAdd b ↔ a ≤ b
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.TypeTags
Cited by
4 results in Mathlib
Foundations
Depth 14 from the axioms · uses Quot.sound
Assumes
Preorder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

WithZero.toAdd_unzero_le_of_lt_ofAdd · cited by 1WithZero.toAdd_unzero_le_…LaurentSeries.exists_Polynomial_intValuation_lt · cited by 1LaurentSeries.exists_Poly…Multiplicative.toAdd_mono · cited by 0Multiplicative.toAdd_monoAlgebraicGeometry.Scheme.le_ord_iff · cited by 0Scheme.le_ord_iffDFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivPreorder · cited by 7952PreorderMultiplicative · cited by 875MultiplicativeMultiplicative.toAdd · cited by 161Multiplicative.toAddMultiplicative.toAdd_leCITED BYCITES

Cites5

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

Cited by4

Results whose statement or proof uses this declaration.