Theorems · Theorem · group theory
AddCon.coe_add
∀ {M : Type u_1} [inst : Add M] {c : AddCon M} (x y : M), ↑(x + y) = ↑x + ↑yThe coercion to the quotient of an additive congruence relation commutes with addition (by definition).
- Defined in
- Mathlib.GroupTheory.Congruence.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses Quot.sound
- Assumes
- Add
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddConstatement and proof · cited by 138
- AddCon.Quotientstatement · cited by 54
- AddCon.toQuotientstatement · cited by 38
Cited by1
Results whose statement or proof uses this declaration.
- TensorProduct.induction_onproof · cited by 81