Theorems · Theorem · order theory

Finsupp.embDomain_le_embDomain_iff_le

∀ {ι : Type u_1} {κ : Type u_2} {α : Type u_3} [inst : Zero α] [inst_1 : LE α] [Std.Refl fun x1 x2 => x1 ≤ x2]
  (f : ι ↪ κ) (g₁ g₂ : ι →₀ α), Finsupp.embDomain f g₁ ≤ Finsupp.embDomain f g₂ ↔ g₁ ≤ g₂

Defined in

Mathlib.Data.Finsupp.Order

Cited by

2 results in Mathlib

Foundations

Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

ZeroLEStd.Refl