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Theorems · Theorem · order theory

OrderRingHom.ext

∀ {α : Type u_2} {β : Type u_3} [inst : NonAssocSemiring α] [inst_1 : Preorder α] [inst_2 : NonAssocSemiring β]
  [inst_3 : Preorder β] {f g : α →+*o β}, (∀ (a : α), f a = g a) → f = g
Defined in
Mathlib.Algebra.Order.Hom.Ring
Cited by
3 results in Mathlib
Foundations
Depth 18 from the axioms · uses Quot.sound
Assumes
NonAssocSemiringPreorderNonAssocSemiringPreorder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

OrderRingHom.cancel_right · cited by 0OrderRingHom.cancel_rightOrderRingHom.ext_iff · cited by 0OrderRingHom.ext_iffOrderRingHom.cancel_left · cited by 0OrderRingHom.cancel_leftDFunLike.coe · cited by 62936DFunLike.coePreorder · cited by 7952PreorderNonAssocSemiring · cited by 805NonAssocSemiringDFunLike.ext · cited by 240DFunLike.extOrderRingHom · cited by 132OrderRingHomOrderRingHom.extCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.