Theorems · Theorem · order theory
le_mul_tsub
∀ {R : Type u_3} [inst : Distrib R] [inst_1 : Preorder R] [inst_2 : Sub R] [OrderedSub R] [MulLeftMono R] {a b c : R},
a * b - a * c ≤ a * (b - c)- Defined in
- Mathlib.Algebra.Order.Sub.Unbundled.Hom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- MulLeftMonostatement and proof · cited by 410
- OrderedSubstatement and proof · cited by 236
- monotone_idproof · cited by 31
- Distribstatement and proof · cited by 31
- Monotone.const_mul'proof · cited by 3
- AddHom.le_map_tsubproof · cited by 3
- AddHom.mulLeftproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- le_tsub_mulproof · cited by 0