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Theorems · Theorem · order theory

SetRel.core_subset_core

∀ {α : Type u_1} {β : Type u_2} {R : SetRel α β} {t₁ t₂ : Set β}, t₁ ⊆ t₂ → R.core t₁ ⊆ R.core t₂
Defined in
Mathlib.Data.Rel
Cited by
1 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SetRel.core_mono · cited by 3SetRel.core_monoSet · cited by 53352SetSetRel · cited by 581SetRelSetRel.core · cited by 19SetRel.coreSetRel.core_subset_coreCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Setstatement and proof · cited by 53,352
  • SetRelstatement and proof · cited by 581
  • SetRel.corestatement and proof · cited by 19

Cited by1

Results whose statement or proof uses this declaration.