Theorems · Theorem
Function.extend_comp
∀ {α : Sort u_1} {β : Sort u_2} {γ : Sort u_3} {f : α → β},
Function.Injective f → ∀ (g : α → γ) (e' : β → γ), Function.extend f g e' ∘ f = g- Defined in
- Mathlib.Logic.Function.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Function.extendstatement · cited by 111
- Function.Injective.extend_applyproof · cited by 57
Cited by10
Results whose statement or proof uses this declaration.
- hasSum_extend_zeroproof · cited by 3
- MvPolynomial.funext_setproof · cited by 2
- hasProd_extend_oneproof · cited by 2
- ContMDiff.extend_zeroproof · cited by 1
- Function.Injective.surjective_comp_right'proof · cited by 1
- HasCompactSupport.continuous_extend_zeroproof · cited by 0
- BoundedContinuousFunction.extend_compproof · cited by 0
- ContMDiff.extend_oneproof · cited by 0
- HasCompactMulSupport.continuous_extend_oneproof · cited by 0