Subsemiring.closure_mono

∀ {R : Type u} [inst : NonAssocSemiring R] ⦃s t : Set R⦄, s ⊆ t → Subsemiring.closure s ≤ Subsemiring.closure t

Subsemiring closure of a set is monotone in its argument: if s ⊆ t, then closure s ≤ closure t.

Defined in: Mathlib.Algebra.Ring.Subsemiring.Basic
Cited by: 4 results in Mathlib
Foundations: Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NonAssocSemiring

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