Theorems · Theorem · combinatorics
Finset.bipartiteBelow.congr_simp
∀ {α : Type u_2} {β : Type u_3} (r r_1 : α → β → Prop),
r = r_1 →
∀ (s s_1 : Finset α),
s = s_1 →
∀ (b b_1 : β),
b = b_1 →
∀ {inst : (a : α) → Decidable (r a b)} [inst_1 : (a : α) → Decidable (r_1 a b_1)],
Finset.bipartiteBelow r s b = Finset.bipartiteBelow r_1 s_1 b_1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- Decidable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.bipartiteBelowstatement and proof · cited by 24
Cited by2
Results whose statement or proof uses this declaration.
- SimpleGraph.antitoneOn_extremalNumber_div_choose_twoproof · cited by 3
- SimpleGraph.LocallyLinear.card_edgeFinsetproof · cited by 0