Theorems · Theorem · combinatorics
SimpleGraph.extremalNumber_congr
∀ {n₁ n₂ : ℕ} {W₁ : Type u_4} {W₂ : Type u_5} {H₁ : SimpleGraph W₁} {H₂ : SimpleGraph W₂},
n₁ = n₂ → ∀ (e : H₁ ≃g H₂), SimpleGraph.extremalNumber n₁ H₁ = SimpleGraph.extremalNumber n₂ H₂If H₁ ≃g H₂, then extremalNumber n H₁ equals extremalNumber n H₂.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SimpleGraphstatement and proof · cited by 3,072
- Fintype.cardproof · cited by 1,386
- SimpleGraph.Adjproof · cited by 1,346
- Fintype.card_finproof · cited by 270
- SimpleGraph.Isostatement and proof · cited by 99
- SimpleGraph.IsContainedproof · cited by 68
- le_antisymm_iffproof · cited by 62
- SimpleGraph.Freeproof · cited by 39
- SimpleGraph.Iso.symmproof · cited by 34
- SimpleGraph.extremalNumberstatement and proof · cited by 23
- SimpleGraph.Iso.toCopyproof · cited by 7
- SimpleGraph.card_edgeFinset_le_extremalNumberproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- SimpleGraph.extremalNumber_congr_rightproof · cited by 0