Theorems · Theorem · order theory
Quantale.rightMulResiduation_le_iff_mul_le
∀ {α : Type u_1} {x y z : α} [inst : Semigroup α] [inst_1 : CompleteLattice α] [IsQuantale α],
x ≤ Quantale.rightMulResiduation y z ↔ y * x ≤ z- Defined in
- Mathlib.Algebra.Order.Quantale
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- le_reflproof · cited by 2,061
- CompleteLatticestatement and proof · cited by 1,048
- le_imp_le_of_le_of_leproof · cited by 576
- mul_le_mul'proof · cited by 274
- Semigroupstatement and proof · cited by 202
- le_sSupproof · cited by 79
- IsQuantalestatement and proof · cited by 13
- mul_sSup_distribproof · cited by 4
- Quantale.rightMulResiduationstatement and proof · cited by 1
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