No prose has been written for this declaration yet. The Lean source and graph data below render
without it.
generate prose now
formal statement (Lean)
141theorem cascadeStep_subset {n : ℕ} (E : Ecosystem n) (L : Finset (Fin n)) :
142 cascadeStep E L ⊆ L := by
proof body
Term-mode proof.
143 unfold cascadeStep
144 exact Finset.filter_subset _ _
145
146/-- Each cascade step weakly shrinks the live set. -/
used by (4)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (6)
Lean names referenced from this declaration's body.
-
step
in IndisputableMonolith.Complexity.CellularAutomata
decl_use
-
cascadeStep
in IndisputableMonolith.Ecology.ExtinctionCascadeFromLedgerBankruptcy
decl_use
-
Ecosystem
in IndisputableMonolith.Ecology.ExtinctionCascadeFromLedgerBankruptcy
decl_use
-
E
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
-
L
in IndisputableMonolith.Recognition
decl_use
-
L
in IndisputableMonolith.Recognition.Cycle3
decl_use