Theorems · Definition · commutative algebra
DividedPowerAlgebra.ringCon
(R : Type u_2) →
(M : Type u_3) →
[inst : CommSemiring R] → [inst_1 : AddCommMonoid M] → [Module R M] → RingCon (MvPolynomial (ℕ × M) R)The congruence generated by Rel.
- Cited by
- 49 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Finsuppstatement · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- RingConstatement · cited by 219
- ringConGenproof · cited by 18
- DividedPowerAlgebra.Relproof · cited by 0
Cited by55
Results whose statement or proof uses this declaration.
- DividedPowerAlgebraproof · cited by 48
- DividedPowerAlgebra.mapstatement · cited by 12
- DividedPowerAlgebra.mapEquivstatement · cited by 7
- DividedPowerAlgebra.dp_zerostatement and proof · cited by 6
- DividedPowerAlgebra.liftstatement · cited by 6
- DividedPowerAlgebra.embedstatement · cited by 5
- DividedPowerAlgebra.dp_mulstatement · cited by 4
- DividedPowerAlgebra.dp_smulstatement and proof · cited by 4
- DividedPowerAlgebra.map_apply_dpstatement · cited by 4
- DividedPowerAlgebra.algHom_ext_iffstatement and proof · cited by 3
- DividedPowerAlgebra.dp_addstatement and proof · cited by 3
- DividedPowerAlgebra.dp_defstatement · cited by 3