Theorems · Theorem · order theory
posMulMono_iff_mulPosMono
∀ {α : Type u_1} [inst : Mul α] [inst_1 : Zero α] [inst_2 : Preorder α] [IsMulCommutative α],
PosMulMono α ↔ MulPosMono α- Defined in
- Mathlib.Algebra.Order.GroupWithZero.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
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.
- Preorderstatement and proof · cited by 7,952
- PosMulMonostatement · cited by 165
- MulPosMonostatement · cited by 128
- IsMulCommutativestatement and proof · cited by 95
- mul_comm'proof · cited by 12
Cited by5
Results whose statement or proof uses this declaration.
- Finset.prod_le_prodproof · cited by 40
- List.prod_map_le_prod_map₀proof · cited by 3
- Finset.prod_le_prod_of_subset_of_one_leproof · cited by 2
- Finset.prod_le_prod_of_subset_of_le_oneproof · cited by 1
- PosMulMono.toMulPosMonoproof · cited by 0