Theorems · Theorem · order theory
CompletelyDistribLattice.MinimalAxioms.toCompleteDistribLattice
∀ {α : Type u} [inst : CompleteLattice α],
CompletelyDistribLattice.MinimalAxioms α → CompleteDistribLattice.MinimalAxioms αTurn minimal axioms for CompletelyDistribLattice into minimal axioms for
CompleteDistribLattice.
- Defined in
- Mathlib.Order.CompleteBooleanAlgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.Elemproof · cited by 7,166
- iSupproof · cited by 2,415
- iInfproof · cited by 1,690
- CompleteLatticestatement and proof · cited by 1,048
- sSup_eq_iSup'proof · cited by 38
- le_biSupproof · cited by 20
- sInf_eq_iInf'proof · cited by 17
- iSup_bool_eqproof · cited by 12
- biInf_leproof · cited by 10
- CompleteDistribLattice.MinimalAxiomsstatement · cited by 6
- iInf_bool_eqproof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.