@@ -95,7 +95,7 @@ theorem lt_zarankiewicz_iff
9595variable {R : Type *} [Semiring R] [LinearOrder R] [FloorSemiring R]
9696
9797@ [inherit_doc zarankiewicz_le_iff]
98- theorem zarankiewicz_card_le_iff_of_nonneg
98+ theorem zarankiewicz_le_iff_of_nonneg
9999 (hm : card V = m) (hn : card W = n) (hs : card α = s) (ht : card β = t) {x : R} (h : 0 ≤ x) :
100100 zarankiewicz m n s t ≤ x ↔
101101 ∀ ⦃G : SimpleGraph (V ⊕ W)⦄ [DecidableRel G.Adj], G ≤ completeBipartiteGraph V W →
@@ -104,7 +104,7 @@ theorem zarankiewicz_card_le_iff_of_nonneg
104104 exact zarankiewicz_le_iff hm hn hs ht ⌊x⌋₊
105105
106106@ [inherit_doc lt_zarankiewicz_iff]
107- theorem lt_zarankiewicz_card_iff_of_nonneg
107+ theorem lt_zarankiewicz_iff_of_nonneg
108108 (hm : card V = m) (hn : card W = n) (hs : card α = s) (ht : card β = t) {x : R} (h : 0 ≤ x) :
109109 x < zarankiewicz m n s t ↔
110110 ∃ G : SimpleGraph (V ⊕ W), ∃ _ : DecidableRel G.Adj, G ≤ completeBipartiteGraph V W ∧
@@ -142,7 +142,6 @@ theorem two_mul_extremalNumber_le_zarankiewicz_symm
142142 · simp_rw [mem_filter, mem_univ, true_and]
143143 refine ⟨bipartiteDoubleCover_le, ?_⟩
144144 contrapose! h
145- rw [not_free] at h ⊢
146145 refine completeBipartiteGraph_isContained_bipartiteDoubleCover.mp <|
147146 h.trans' ⟨Iso.toCopy ?_⟩
148147 exact completeBipartiteGraphCongr
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