Theorems · Theorem · order theory
Nucleus.comp_eq_right_iff_le
∀ {X : Type u_1} [inst : Order.Frame X] {n m : Nucleus X}, ⇑n ∘ ⇑m = ⇑m ↔ n ≤ m- Defined in
- Mathlib.Order.Nucleus
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Order.Frame
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- le_antisymmproof · cited by 2,068
- le_transproof · cited by 985
- Order.Framestatement and proof · cited by 88
- Nucleusstatement and proof · cited by 41
- Nucleus.le_applyproof · cited by 5
- Nucleus.monotoneproof · cited by 3
- Nucleus.idempotent'proof · cited by 1
- Nucleus.coe_le_coeproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Nucleus.range_subset_rangeproof · cited by 0