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`BookProof.ChapterConditional.pCond_nonneg` (B : Matrix Y X π•œ) (x : X) (y : Y) : 0 ≀ pCond B x y

Proved
BookProof.ChapterConditional.pCond_nonneg

by leonardopedro Β· Oct 7, 2026 Β· Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterConditional.

BookProof.ChapterConditional.pCond_nonneg (B : Matrix Y X π•œ) (x : X) (y : Y) : 0 ≀ pCond B x y

Formalization note: Lean 4 identifier BookProof.ChapterConditional.pCond_nonneg.

Preamble
-- Generated from ChapterConditional.lean β€” theorem BookProof.ChapterConditional.pCond_nonneg
import Mathlib
import Definitions.Def_ChapterConditional
open BookProof.ChapterConditional


open scoped BigOperators Matrix
open Finset


variable {X Y : Type*} [Fintype X] [Fintype Y] [DecidableEq X]
variable {π•œ : Type*} [RCLike π•œ]


omit [Fintype X] [DecidableEq X] in
Formal statement
theorem BookProof.ChapterConditional.pCond_nonneg (B : Matrix Y X π•œ) (x : X) (y : Y) : 0 ≀ pCond B x y := by sorry

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