Theorems · Theorem · order theory
List.not_of_mem_foldl_argAux
∀ {α : Type u_1} (r : α → α → Prop) [inst : DecidableRel r] {l : List α},
Std.Irrefl r → IsTrans α r → ∀ {a m : α} {o : Option α}, a ∈ l → m ∈ List.foldl (List.argAux r) o l → ¬r a m- Defined in
- Mathlib.Data.List.MinMax
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableRel
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsTransstatement and proof · cited by 157
- List.reverseRecOnproof · cited by 29
- List.argAuxstatement and proof · cited by 6
- List.foldl_argAux_eq_noneproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- List.not_lt_of_mem_argmaxproof · cited by 2
- List.not_lt_of_mem_argminproof · cited by 2