Theorems · Theorem · order theory
right_iff_left_not_left
∀ {α : Type u} {r s : α → α → Prop} [IsNonstrictStrictOrder α r s] {a b : α}, s a b ↔ r a b ∧ ¬r b a- Defined in
- Mathlib.Order.RelClasses
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- IsNonstrictStrictOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsNonstrictStrictOrderstatement and proof · cited by 3
- IsNonstrictStrictOrder.right_iff_left_not_leftproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Multiset.zero_ssubsetproof · cited by 0
- right_iff_left_not_left_ofproof · cited by 0