Theorems · Definition · commutative algebra
RingHom.fst
(R : Type u_1) → (S : Type u_3) → [inst : NonAssocSemiring R] → [inst_1 : NonAssocSemiring S] → R × S →+* R
Given semirings R, S, the natural projection homomorphism from R × S to R.
- Defined in
- Mathlib.Algebra.Ring.Prod
- Cited by
- 36 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement · cited by 10,189
- MonoidHomproof · cited by 3,629
- AddMonoidHomproof · cited by 3,230
- NonAssocSemiringstatement and proof · cited by 805
- AddMonoidHom.fstproof · cited by 39
- MonoidHom.fstproof · cited by 28
Cited by48
Results whose statement or proof uses this declaration.
- Ideal.prodproof · cited by 28
- AlgHom.fstproof · cited by 7
- AlgebraicGeometry.coprodSpecproof · cited by 7
- RingHom.prodMapproof · cited by 6
- RingHom.pullbackproof · cited by 6
- TopCat.Sheaf.objSupIsoProdEqLocusstatement · cited by 6
- ZMod.chineseRemainderproof · cited by 6
- CommRingCat.pullbackConeIsLimitproof · cited by 4
- RingHom.pullbackFstproof · cited by 4
- Ideal.ideal_prod_eqstatement and proof · cited by 4
- CommRingCat.prodFanproof · cited by 2
- AlgebraicGeometry.coprodSpec_inlstatement and proof · cited by 2