Theorems · Theorem · order theory
MulLECancellable.mul_le_iff_le_one_right
∀ {α : Type u_1} [inst : LE α] [inst_1 : MulOneClass α] [MulLeftMono α] {a b : α},
MulLECancellable a → (a * b ≤ a ↔ b ≤ 1)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- LEMulOneClassMulLeftMono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- MulOneClassstatement and proof · cited by 1,018
- MulLeftMonostatement and proof · cited by 410
- MulLECancellablestatement and proof · cited by 20
- MulLECancellable.mul_le_mul_iff_leftproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MulLECancellable.mul_le_iff_le_one_leftproof · cited by 0