Theorem: ENat.encard_sUnion_le_tsum_encard (Matroid/ForMathlib/ENatTopology.lean)

State before:
α : Type u_1
β : Type u_2
ι : Type u_3
s : Set α
n : ℕ∞
f g : α → ℕ∞
c : Set (Set α)
⊢ (⋃₀ c).encard ≤ ∑' (s : ↑c), (↑s).encard
Tactic:
rw [sUnion_eq_iUnion]
State after:
α : Type u_1
β : Type u_2
ι : Type u_3
s : Set α
n : ℕ∞
f g : α → ℕ∞
c : Set (Set α)
⊢ (⋃ i, ↑i).encard ≤ ∑' (s : ↑c), (↑s).encard

State before:
α : Type u_1
β : Type u_2
ι : Type u_3
s : Set α
n : ℕ∞
f g : α → ℕ∞
c : Set (Set α)
⊢ (⋃ i, ↑i).encard ≤ ∑' (s : ↑c), (↑s).encard
Tactic:
apply encard_iUnion_le_tsum_encard
State after:
no goals