Theorems · Theorem · order theory
OrderMonoidWithZeroHom.ext
∀ {α : Type u_2} {β : Type u_3} [inst : Preorder α] [inst_1 : Preorder β] [inst_2 : MulZeroOneClass α]
[inst_3 : MulZeroOneClass β] {f g : α →*₀o β}, (∀ (a : α), f a = g a) → f = g- Defined in
- Mathlib.Algebra.Order.Hom.MonoidWithZero
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses 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.
- DFunLike.coestatement and proof · cited by 62,936
- Preorderstatement and proof · cited by 7,952
- DFunLike.extproof · cited by 240
- MulZeroOneClassstatement and proof · cited by 184
- OrderMonoidWithZeroHomstatement and proof · cited by 48
Cited by7
Results whose statement or proof uses this declaration.
- LinearOrderedCommGroupWithZero.fst_comp_inlproof · cited by 0
- OrderMonoidWithZeroHom.toMonoidWithZeroHom_injectiveproof · cited by 0
- OrderMonoidWithZeroHom.comp_mulproof · cited by 0
- OrderMonoidWithZeroHom.toOrderMonoidHom_injectiveproof · cited by 0
- OrderMonoidWithZeroHom.cancel_leftproof · cited by 0
- OrderMonoidWithZeroHom.cancel_rightproof · cited by 0
- OrderMonoidWithZeroHom.ext_iffproof · cited by 0