Theorems · Definition
List.TFAE
List Prop → Prop
TFAE: The Following (propositions) Are Equivalent.
The tfae_have and tfae_finish tactics can be useful in proofs with TFAE goals.
- Defined in
- Mathlib.Data.List.TFAE
- Cited by
- 102 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 8 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by102
Results whose statement or proof uses this declaration.
- List.TFAE.outstatement and proof · cited by 177
- List.tfae_of_cyclestatement and proof · cited by 83
- IsLocalRing.local_hom_TFAEstatement · cited by 10
- t1Space_TFAEstatement · cited by 8
- CStarAlgebra.isStrictlyPositive_TFAEstatement · cited by 7
- Ring.krullDimLE_zero_and_isLocalRing_tfaestatement · cited by 7
- CStarAlgebra.nonneg_TFAEstatement · cited by 6
- LinearMap.normDet_ne_zero_tfaestatement · cited by 6
- specializes_TFAEstatement · cited by 6
- regularSpace_TFAEstatement · cited by 6
- IsLocallyConstant.tfaestatement · cited by 5
- RCLike.is_real_TFAEstatement · cited by 5