Theorems · Theorem · commutative algebra
RingCon.coe_algebraMap
∀ {α : Type u_1} {R : Type u_3} [inst : CommSemiring α] [inst_1 : Semiring R] [inst_2 : Algebra α R] (c : RingCon R)
(s : α), ↑((algebraMap α R) s) = (algebraMap α c.Quotient) s- Defined in
- Mathlib.RingTheory.Congruence.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiringSemiringAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement · cited by 4,706
- RingConstatement and proof · cited by 219
- RingCon.Quotientstatement · cited by 118
- RingCon.toQuotientstatement · cited by 69
Cited by1
Results whose statement or proof uses this declaration.
- DividedPowerAlgebra.coe_Cproof · cited by 0