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formal statement (Lean)
165theorem cascadeIterate_subset {n : ℕ} (E : Ecosystem n) (L : Finset (Fin n)) (k : ℕ) :
166 cascadeIterate E L (k + 1) ⊆ cascadeIterate E L k := by
proof body
Term-mode proof.
167 rw [cascadeIterate_succ]
168 exact cascadeStep_subset E (cascadeIterate E L k)
169
used by (5)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (7)
Lean names referenced from this declaration's body.
-
cascadeIterate
in IndisputableMonolith.Ecology.ExtinctionCascadeFromLedgerBankruptcy
decl_use
-
cascadeIterate_succ
in IndisputableMonolith.Ecology.ExtinctionCascadeFromLedgerBankruptcy
decl_use
-
cascadeStep_subset
in IndisputableMonolith.Ecology.ExtinctionCascadeFromLedgerBankruptcy
decl_use
-
Ecosystem
in IndisputableMonolith.Ecology.ExtinctionCascadeFromLedgerBankruptcy
decl_use
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E
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
-
L
in IndisputableMonolith.Recognition
decl_use
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L
in IndisputableMonolith.Recognition.Cycle3
decl_use