Theorems · Theorem · order theory
mul_max
∀ {α : Type u_1} [inst : Mul α] [inst_1 : LinearOrder α] [MulLeftMono α] (a b c : α), a * max b c = max (a * b) (a * c)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- MulLinearOrderMulLeftMono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- MulLeftMonostatement and proof · cited by 410
- Monotone.map_maxproof · cited by 55
- mul_right_monoproof · cited by 13
Cited by2
Results whose statement or proof uses this declaration.
- Finset.mul_sup₀proof · cited by 1
- Polynomial.mahlerMeasure_C_mul_X_add_Cproof · cited by 1