Theorems · Theorem · order theory
strictMono_vecCons
∀ {α : Type u_1} [inst : Preorder α] {n : ℕ} {f : Fin (n + 1) → α} {a : α},
StrictMono (Matrix.vecCons a f) ↔ a < f 0 ∧ StrictMono f- Defined in
- Mathlib.Order.Fin.Tuple
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
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.
- Preorderstatement and proof · cited by 7,952
- Matrix.vecConsstatement · cited by 852
- StrictMonostatement · cited by 706
- liftFun_vecConsproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- StrictMono.vecConsproof · cited by 0