Theorems · Theorem
Function.Injective.trichotomous_onFun
∀ {α : Sort u_1} {β : Sort u_2} (r : β → β → Prop) {f : α → β},
Function.Injective f → ∀ [Std.Trichotomous r], Std.Trichotomous (Function.onFun r f)- Defined in
- Mathlib.Logic.Function.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- Std.Trichotomous
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Function.onFunstatement and proof · cited by 570
Cited by2
Results whose statement or proof uses this declaration.
- Function.Injective.isStrictTotalOrder_onFunproof · cited by 0
- Function.Injective.isWellOrderproof · cited by 0