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Theorems · Theorem · ring theory

NonUnitalRingHom.comp_apply

∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : NonUnitalNonAssocSemiring α]
  [inst_1 : NonUnitalNonAssocSemiring β] [inst_2 : NonUnitalNonAssocSemiring γ] (g : β →ₙ+* γ) (f : α →ₙ+* β) (x : α),
  (g.comp f) x = g (f x)
Defined in
Mathlib.Algebra.Ring.Hom.Defs
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
NonUnitalNonAssocSemiringNonUnitalNonAssocSemiringNonUnitalNonAssocSemiring
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Around this declaration

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

NonUnitalRingHom.cancel_left · cited by 0NonUnitalRingHom.cancel_l…DFunLike.coe · cited by 62936DFunLike.coeNonUnitalNonAssocSemiring · cited by 1081NonUnitalNonAssocSemiringNonUnitalRingHom · cited by 157NonUnitalRingHomNonUnitalRingHom.comp · cited by 38NonUnitalRingHom.compNonUnitalRingHom.comp_applyCITED BYCITES

Cites4

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Cited by1

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