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Theorems · Theorem · order theory

IsNonstrictStrictOrder.right_iff_left_not_left

∀ {α : Type u_1} {r : semiOutParam (α → α → Prop)} {s : α → α → Prop} [self : IsNonstrictStrictOrder α r s] (a b : α),
  s a b ↔ r a b ∧ ¬r b a

The relation r is the nonstrict relation corresponding to the strict relation s.

Defined in
Mathlib.Order.RelClasses
Cited by
1 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
IsNonstrictStrictOrder
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right_iff_left_not_left · cited by 2right_iff_left_not_leftIsNonstrictStrictOrder · cited by 3IsNonstrictStrictOrderIsNonstrictStrictOrder.right_…CITED BYCITES

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