Theorems · Theorem · commutative algebra
AddSubmonoid.mul_iSup
∀ {R : Type u_2} [inst : NonUnitalNonAssocSemiring R] {ι : Sort u_4} (T : AddSubmonoid R) (S : ι → AddSubmonoid R),
T * ⨆ i, S i = ⨆ i, T * S i- Defined in
- Mathlib.Algebra.Ring.Submonoid.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocSemiring
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iSupstatement · cited by 2,415
- AddSubmonoidstatement and proof · cited by 1,178
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- AddSubmonoid.mulstatement · cited by 18
- AddSubmonoid.smul_iSupproof · cited by 2
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