Theorems · Theorem · logic and foundations
Fact.out
∀ {p : Prop} [self : Fact p], pFact.out contains the unwrapped witness for the fact represented by the instance of
Fact p.
- Defined in
- Mathlib.Logic.Basic
- Cited by
- 328 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 1 definitions · uses no axioms
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Factstatement and proof · cited by 2,726
Cited by330
Results whose statement or proof uses this declaration.
- Fact.elimproof · cited by 25
- CategoryTheory.isFiltered_of_isCardinalFilteredproof · cited by 18
- map_wittStructureIntproof · cited by 13
- padicValNat_selfproof · cited by 11
- FiniteField.cardproof · cited by 10
- padicValNat_eq_emultiplicityproof · cited by 9
- CuspFormClass.zero_at_inftyproof · cited by 8
- ModularFormClass.bdd_at_inftyproof · cited by 8
- IsPGroup.iff_cardproof · cited by 7
- CategoryTheory.IsCardinalFiltered.coeq_conditionproof · cited by 7
- Polynomial.cyclotomic_primeproof · cited by 7
- ZMod.val_oneproof · cited by 6
Showing the 200 most cited of 330.