Theorems · Theorem · logic and foundations
Cardinal.self_le_power
∀ (a : Cardinal.{u_1}) {b : Cardinal.{u_1}}, 1 ≤ b → a ≤ a ^ b- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- eq_or_neproof · cited by 1,117
- zero_leproof · cited by 382
- Cardinal.power_le_power_leftproof · cited by 9
- Cardinal.power_oneproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.pow_eqproof · cited by 1
- MeasurableSpace.cardinal_generateMeasurableRec_leproof · cited by 1