Theorems · Theorem · order theory

DFinsupp.lex_iff_of_unique

∀ {ι : Type u_1} {α : ι → Type u_2} [inst : (i : ι) → Zero (α i)] [inst_1 : Unique ι] [inst_2 : (i : ι) → LT (α i)]
  {r : ι → ι → Prop} [Std.Irrefl r] {x y : Π₀ (i : ι), α i},
  DFinsupp.Lex r (fun x x1 x2 => x1 < x2) x y ↔ x default < y default

Defined in: Mathlib.Data.DFinsupp.Lex
Cited by: 2 results in Mathlib
Foundations: Depth 22 from the axioms · uses propext, Quot.sound
Assumes: Zero Unique LT Std.Irrefl

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Cites5

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

DFunLike.coestatement · cited by 62,936
DFinsuppstatement and proof · cited by 694
Uniquestatement and proof · cited by 400
DFinsupp.Lexstatement · cited by 14
Pi.lex_iff_of_uniqueproof · cited by 4

Cited by2

Results whose statement or proof uses this declaration.

DFinsupp.colex_lt_iff_of_uniqueproof · cited by 0
DFinsupp.Lex.lt_iff_of_uniqueproof · cited by 0