Theorems · Theorem · order theory
MonoidWithZeroHom.inl_mono
∀ {M₀ : Type u_1} {N₀ : Type u_2} [inst : LinearOrderedCommGroupWithZero M₀] [inst_1 : GroupWithZero N₀]
[inst_2 : Preorder N₀] [inst_3 : DecidablePred fun x => x = 0], Monotone ⇑(MonoidWithZeroHom.inl M₀ N₀)- Defined in
- Mathlib.Algebra.Order.GroupWithZero.Lex
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Preorderstatement and proof · cited by 7,952
- Unitsstatement and proof · cited by 2,804
- Units.valproof · cited by 1,966
- Monotonestatement · cited by 1,397
- MonoidWithZeroHomstatement · cited by 704
- GroupWithZerostatement and proof · cited by 691
- WithZerostatement · cited by 586
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- WithZero.coeproof · cited by 186
- Monotone.compproof · cited by 67
- Units.mk0_valproof · cited by 19
Cited by1
Results whose statement or proof uses this declaration.
- MonoidWithZeroHom.inl_strictMonoproof · cited by 0