Theorems · Theorem · logic and foundations
Cardinal.mk_option
∀ {α : Type u}, Cardinal.mk (Option α) = Cardinal.mk α + 1- Defined in
- Mathlib.SetTheory.Cardinal.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.liftproof · cited by 583
- Cardinal.lift_idproof · cited by 163
- Equiv.cardinal_eqproof · cited by 35
- Cardinal.mk_sumproof · cited by 19
- Cardinal.mk_eq_oneproof · cited by 14
- Equiv.optionEquivSumPUnitproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.add_one_le_of_ltproof · cited by 2