Theorems · Theorem
Equiv.forall_congr_right
∀ {α : Sort u} {β : Sort v} {q : β → Prop} (e : α ≃ β), (∀ (a : α), q (e a)) ↔ ∀ (b : β), q b- Defined in
- Mathlib.Logic.Equiv.Defs
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement and proof · cited by 8,337
- Equiv.symmproof · cited by 3,681
- Equiv.apply_symm_applyproof · cited by 346
Cited by28
Results whose statement or proof uses this declaration.
- Equiv.forall_congr_leftproof · cited by 41
- Matrix.posSemidef_iff_dotProduct_mulVecproof · cited by 5
- isIsotypicOfType_submodule_iffproof · cited by 4
- Matrix.posDef_iff_dotProduct_mulVecproof · cited by 3
- ContinuousLinearMap.opNNNorm_comp_linearIsometryEquivproof · cited by 2
- CategoryTheory.IsFiltered.crownproof · cited by 2
- Equiv.piCongrLeft_preimage_piproof · cited by 2
- Equiv.vanishesTrivially_compproof · cited by 2
- MulEquivClass.map_nonZeroDivisorsproof · cited by 2
- MulEquiv.mulDissociated_preimageproof · cited by 1
- CategoryTheory.Equalizer.Presieve.sheaf_conditionproof · cited by 1
- isIsotypic_submodule_iffproof · cited by 1