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Theorems · Theorem · commutative algebra

RingCat.Hom.ext

∀ {R S : RingCat} {x y : R.Hom S}, x.hom' = y.hom' → x = y
Defined in
Mathlib.Algebra.Category.Ring.Basic
Cited by
2 results in Mathlib
Foundations
Depth 15 from the axioms · uses no axioms
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Around this declaration

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

RingCat.hom_ext · cited by 2RingCat.hom_extRingCat.Hom.ext_iff · cited by 0Hom.ext_iffRingHom · cited by 10189RingHomRingCat · cited by 473RingCatRingCat.carrier · cited by 279RingCat.carrierRingCat.Hom · cited by 8RingCat.HomRingCat.Hom.hom' · cited by 2Hom.hom'Hom.extCITED BYCITES

Cites5

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

Cited by2

Results whose statement or proof uses this declaration.