Theorems · Definition · general topology
ContinuousMap.fst
{α : Type u_1} → {β : Type u_2} → [inst : TopologicalSpace α] → [inst_1 : TopologicalSpace β] → C(α × β, α)Prod.fst : (x, y) ↦ x as a bundled continuous map.
- Defined in
- Mathlib.Topology.ContinuousMap.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 75 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.
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousMapstatement · cited by 2,491
Cited by11
Results whose statement or proof uses this declaration.
- ContinuousMap.prodSwapproof · cited by 4
- ContinuousMap.prodMulproof · cited by 4
- ContinuousMap.const'proof · cited by 2
- FundamentalGroupoidFunctor.projLeftproof · cited by 2
- Path.toHomotopyConstproof · cited by 2
- AbstractMeasure.prodMk'_prod_applystatement and proof · cited by 1
- AbstractMeasure.prodMk_prod_applystatement and proof · cited by 1
- ContinuousMap.Homotopy.prodMapproof · cited by 1
- ContinuousMap.prodMul_defstatement · cited by 1
- ContinuousMap.fst_applystatement and proof · cited by 0
- Topology.ContinuousMapGeneratedBy.continuousGeneratedBy_dom_prod_iffproof · cited by 0