Theorems · Theorem · order theory
MonoidWithZeroHom.fst_mono
∀ {M₀ : Type u_1} {N₀ : Type u_2} [inst : LinearOrderedCommGroupWithZero M₀] [inst_1 : GroupWithZero N₀]
[inst_2 : Preorder N₀], Monotone ⇑(MonoidWithZeroHom.fst M₀ N₀)- Defined in
- Mathlib.Algebra.Order.GroupWithZero.Lex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Preorderstatement and proof · cited by 7,952
- Unitsstatement and proof · cited by 2,804
- Units.valproof · cited by 1,966
- map_zeroproof · cited by 1,614
- Monotonestatement · cited by 1,397
- MonoidWithZeroHomstatement · cited by 704
- GroupWithZerostatement and proof · cited by 691
- WithZerostatement and proof · cited by 586
- LinearOrderedCommGroupWithZerostatement and proof · cited by 528
- WithZero.coeproof · cited by 186
- MonoidWithZeroHom.fststatement and proof · cited by 10
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