Theorems · Definition · order theory
BooleanSubalgebra.copy
{α : Type u_2} → [inst : BooleanAlgebra α] → (L : BooleanSubalgebra α) → (s : Set α) → s = ↑L → BooleanSubalgebra αCopy of a Boolean subalgebra with a new carrier equal to the old one. Useful to fix
definitional equalities.
- Defined in
- Mathlib.Order.BooleanSubalgebra
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- BooleanAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- SetLike.coestatement and proof · cited by 8,199
- BooleanAlgebrastatement and proof · cited by 300
- Sublatticeproof · cited by 225
- BooleanSubalgebrastatement and proof · cited by 104
- BooleanSubalgebra.toSublatticeproof · cited by 7
- Sublattice.copyproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- BooleanSubalgebra.coe_copystatement · cited by 0
- BooleanSubalgebra.copy_eqstatement and proof · cited by 0