Theorems · Theorem
Function.Injective.isStrictTotalOrder_onFun
∀ {α : Sort u_1} {β : Sort u_2} (r : β → β → Prop) {f : α → β},
Function.Injective f → ∀ [IsStrictTotalOrder β r], IsStrictTotalOrder α (Function.onFun r f)- Defined in
- Mathlib.Logic.Function.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- IsStrictTotalOrder
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Cites3
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
- IsStrictTotalOrderstatement and proof · cited by 10
- Function.Injective.trichotomous_onFunproof · cited by 2
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