disjoint_smul_right — Mathlib

English

Disjoint left: if hB is a block and ¬B ⊆ s·B, then s·B is disjoint from B.

Русский

Дисjoint слева: если B — блок, и ¬(B ⊆ s·B), тогда s·B дисjoint с B.

LaTeX

$$$\text{IsBlock}(M,B) \rightarrow (\neg B \subseteq s\cdot B) \rightarrow Disjoint(s\cdot B,B).$$$

Lean4

@[to_additive]
theorem disjoint_smul_right (hB : IsBlock M B) (hs : ¬B ⊆ s • B) : Disjoint B (s • B) := by
  simpa using hB.disjoint_smul_set_smul (g := 1) (by simpa using hs)

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