contSupp_fix — Mathlib

English

The contSupp for Cont'.fix f k equals codeSupp (Code.fix f) k ∪ contSupp k, up to trivial reindexing.

Русский

contSupp(Cont'.fix f k) = codeSupp (Code.fix f) k ∪ contSupp k.

LaTeX

$$$\forall f k\; contSupp (Cont'.fix f k) = codeSupp f (Cont'.fix f k) \cup contSupp k$$$

Lean4

theorem contSupp_fix (f k) : contSupp (Cont'.fix f k) = codeSupp f (Cont'.fix f k) := by
  simp +contextual [codeSupp, codeSupp', contSupp, Finset.union_assoc, Finset.subset_iff, -Finset.singleton_union,
    -Finset.union_singleton]

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