Theorems · Theorem · order theory

Finset.SupIndep.image

∀ {α : Type u_1} {ι : Type u_3} {ι' : Type u_4} [inst : Lattice α] [inst_1 : OrderBot α] {f : ι → α}
  [inst_2 : DecidableEq ι] {s : Finset ι'} {g : ι' → ι}, s.SupIndep (f ∘ g) → (Finset.image g s).SupIndep f

Defined in

Mathlib.Order.SupIndep

Cited by

2 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LatticeOrderBotDecidableEq