Theorems · Theorem · ring theory
Set.add_mem_center
∀ {M : Type u_1} [inst : Distrib M] {a b : M}, a ∈ Set.center M → b ∈ Set.center M → a + b ∈ Set.center M- Defined in
- Mathlib.Algebra.Ring.Center
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- Assumes
- Distrib
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- mul_addproof · cited by 413
- add_mulproof · cited by 363
- Set.centerstatement and proof · cited by 49
- Distribstatement and proof · cited by 31
- IsMulCentral.commproof · cited by 26
- commute_iff_eqproof · cited by 20
- IsMulCentral.right_assocproof · cited by 9
- IsMulCentral.left_assocproof · cited by 7
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