Theorems · Theorem · commutative algebra
eq_intCast
∀ {F : Type u_1} {α : Type u_3} [inst : NonAssocRing α] [inst_1 : FunLike F ℤ α] [RingHomClass F ℤ α] (f : F) (n : ℤ),
f n = ↑n- Defined in
- Mathlib.Data.Int.Cast.Lemmas
- Cited by
- 127 results in Mathlib
- Foundations
- Depth 43 from the axioms, rests on 584 definitions · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- map_oneproof · cited by 861
- NonAssocRingstatement and proof · cited by 483
- RingHomClassstatement and proof · cited by 193
- eq_intCast'proof · cited by 2
Cited by127
Results whose statement or proof uses this declaration.
- map_intCastproof · cited by 45
- map_wittStructureIntproof · cited by 13
- UpperHalfPlane.modular_S_smulproof · cited by 9
- RootPairing.root_sub_root_mem_of_pairingIn_posproof · cited by 7
- RootPairing.pairingIn_pairingIn_mem_set_of_isCrystallographicproof · cited by 7
- RootPairing.setOfPred_root_add_zsmul_eq_Icc_of_linearIndependentproof · cited by 5
- Orientation.rotation_rotationproof · cited by 5
- AffineSubspace.wOppSide_iff_exists_leftproof · cited by 5
- UpperHalfPlane.modular_T_zpow_smulproof · cited by 4
- NumberField.absNorm_differentIdealproof · cited by 4
- Wbtw.wOppSide₁₃proof · cited by 4
- RootPairing.EmbeddedG2.pairing_long_shortproof · cited by 4